RD SHARMA Solutions for Class 12-science Maths Chapter 22 - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.1

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 27

Determine the order and degree of the following differential equations. State also whether they are linear or non-linear.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

The order of a differential equation is the order of the highest order derivative appearing in the equation.

The degree of a differential equation is the degree of the highest order derivative.

Consider the given differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

In the above equation, the order of the highest order derivative is 1.

So the differential equation is of order 1.

In the above differential equation, the power of the highest order derivative is 3.

Hence, it is a differential equation of degree 3.

Since the degree of the above differential equation is 3, more than one, it is a non-linear differential equation.

Chapter 22 - Differential Equations Exercise Ex. 22.2

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14

Form the differential equation having y = (sin-1x)2 + A cos -1 x + B, where A and B are arbitrary constants, as its general solution.

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 15(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 15(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

 

Question 16(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(iv)

Represent the following family of curves by forming the corresponding differential equation (a,b being parameters):

x2 + (y - b)2 = 1

Solution 16(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(viii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(viii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(ix)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(ix)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16(x)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16(x)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.3

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3

show that y = ae2x + be-x is a solution of the differential equation Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7

Verify that y = Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations + b is a solution of the differential equation Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12

Show that y = ex(A cos x + B sin x) is the solution of the differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20

Show that y = e-x + ax + b is solution of the differential equation Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21(i)

For the following differential equation verify that the accompanying function is a solution in the mentioned domain (a, b are parameters) Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 21(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 21(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 21(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 21(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.4

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3

For the following initial value problem verify that the accompanying function is a solution:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.5

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11

Solve the following differential equation:

(sin x + cos x)dy + (cos x - sin x) dx = 0

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18

Solve the following differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26

solve the following differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.6

Question 1

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 2

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.7

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 35

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37(ii)

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 38(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 38(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 38(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 38(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 38(iii)

yex/y dx = (xex/y + y2) dy, y ¹ 0

Solution 38(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 38(iv)

(1 + y2) tan-1 x dx + 2y (1 + x2)dy = 0

Solution 38(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 40
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 41
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 42

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 43

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 44
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 45(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 45(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 45(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 45(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 45(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 45(vi)

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations=1 + x2 + y2 + x2y2, y(0) = 1

Solution 45(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 45(vii)

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 45(vii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 45(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 45(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 45(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 45(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 46
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 47
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 48
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 49

Find the particular solution of eRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations= x + 1, given that y = 3 when x = 0.

Solution 49

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 50

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 51

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 52

Find the equation of a curve passing through the point (0,0) and whose differential equation is Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 52

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 53
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 54

The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of balloon after after t seconds.

Solution 54

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 55

in a bank,principal increases continuously at the rate of r% per  year. Find The value of r if Rs 100 doubles itself in 10 years (loge 2 = 0.6931).

Solution 55

Let p, t and represent the principal, time, and rate of interest respectively.

It is given that the principal increases continuously at the rate of r% per year.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Integrating both side, we get:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 56
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 57
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 57
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 58

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.8

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11

Solve the following differential equation.

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Chapter 22 - Differential Equations Exercise Ex. 22.9

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 5

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 6

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25

Solve the following initial value poblem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 27


Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 31
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 35

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 35

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(iii)

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 36(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 36(ix)

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 38

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 39

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Chapter 22 - Differential Equations Exercise Ex. 22.10

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 4
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 7
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 8
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 9
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 10
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 11
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 12
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 13
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 14
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 15
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 16
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 17
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 18
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 19
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 20
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 21
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 22
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 23
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 24
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 25
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 26
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 27
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 28
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 29
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 30

Solve the following differential equation:

 Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 31

Solve the following differential equation:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 32
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 33
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 34
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 35
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(v)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(x)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 36(x)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 36(xi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(xi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 36(xii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 36(xii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(i)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(ii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(iii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(iv)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(v)

Solve the following initial value problem:

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37(v)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(vi)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 37(vii)
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 37(viii)

Solve the following initial value problem

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 37(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 37(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 37(ix)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 37(x)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 37(x)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 37(xi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Solution 37(xi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 37(xii)

dy = cos x (2 - y cosec x) dx

Solution 37(xii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations 

Question 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 38
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 39
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 40

Solve the differential equation

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 40

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Question 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 41

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Chapter 22 - Differential Equations Exercise Ex. 22.11

Question 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 1
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 2
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 3
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

 

Question 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 5
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Solution 6
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Differential Equations

Solution 7