RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 21. Linear Differential Equations

Subject: Maths - Class 12th

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Chapter Exercises

Exercise 21
Objective Questions

Exercise 21

1

Find the general solution for each of the following differential equations.
2

Find the general solution for each of the following differential equations.
3

Find the general solution for each of the following differential equations.
4

Find the general solution for each of the following differential equations.
5

Find the general solution for each of the following differential equations.
6

Find the general solution for each of the following differential equations.
7

Find the general solution for each of the following differential equations.
8

Find the general solution for each of the following differential equations.
9

Find the general solution for each of the following differential equations.
10

Find the general solution for each of the following differential equations.
11

Find the general solution for each of the following differential equations.
12

Find the general solution for each of the following differential equations.
13

Find the general solution for each of the following differential equations.
14

Find the general solution for each of the following differential equations.
15

Find the general solution for each of the following differential equations.
16

Find the general solution for each of the following differential equations.
17

Find the general solution for each of the following differential equations.
18

Find the general solution for each of the following differential equations.
19

Find the general solution for each of the following differential equations.
20

Find the general solution for each of the following differential equations.
21

Find the general solution for each of the following differential equations.
22

Find the general solution for each of the following differential equations.
23

Find the general solution for each of the following differential equations.
24

Find the general solution for each of the following differential equations.
25

Find the general solution for each of the following differential equations.
26

Find the general solution for each of the following differential equations.
27

Find the general solution for each of the following differential equations.
28

Find the general solution for each of the following differential equations.
29

Find the general solution for each of the following differential equations.
30

Find the general solution for each of the following differential equations.
31

Find the general solution for each of the following differential equations.
32

Find the general solution for each of the following differential equations.
33

Find the general solution for each of the following differential equations.
34

Find the general solution for each of the following differential equations.
35

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

36

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

37

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

38

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

39

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

40

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

41

Find a particular solution satisfying the given condition for each of the following differential equations.

, given that

42

A curve passes through the origin and the slope of the tangent to the curve at any point (

43

A curve passes through the point (0, 2) and the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5. Find the equation of the curve.
44

Find the general solution for each of the following differential equations.
45

Find the general solution for each of the following differential equations.
46

Find the general solution for each of the following differential equations.
47

Find the general solution for each of the following differential equations.
48

Find the general solution for each of the following differential equations.
49

Find the general solution for each of the following differential equations.
50

Solve , given that

51

Solve , given that when

Objective Questions

1

Mark (√) against the correct answer in the following:

The solution of the is
2

Mark (√) against the correct answer in the following:

The solution of the is
3

Mark (√) against the correct answer in the following:

The solution of the is
4

Mark (√) against the correct answer in the following:

The solution of the is
5

Mark (√) against the correct answer in the following:

The solution of the is
6

Mark (√) against the correct answer in the following:

The solution of the is.
7

Mark (√) against the correct answer in the following:

The solution of the =1 -

8

Mark (√) against the correct answer in the following:

The solution of the is
9

Mark (√) against the correct answer in the following:

The solution of the is
10

Mark (√) against the correct answer in the following:

The solution of the is
11

Mark (√) against the correct answer in the following:

The solution of the is
12

Mark (√) against the correct answer in the following:

The solution of the DE cos

13

Mark (√) against the correct answer in the following:

the solution of the DE

14

Mark (√) against the correct answer in the following:

The solution of the DE +

15

Mark (√) against the correct answer in the following:

the general solution of the DE (1 +

16

Mark (√) against the correct answer in the following:

The general solution of the =0 is
17

Mark (√) against the correct answer in the following:

The general solution of the DE is
18

Mark (√) against the correct answer in the following:

The general solution of the is
19

Mark (√) against the correct answer in the following:

The general solution of the DE is
20

Mark (√) against the correct answer in the following:

The general solution of the DE is.
21

Mark (√) against the correct answer in the following:

The general solution od the DE  is
22

Mark (√) against the correct answer in the following:

The general solution of the DE 2

23

Mark (√) against the correct answer in the following:

The general solution of the DE (

24

Mark (√) against the correct answer in the following:

The general solution of the DE is
25

Mark (√) against the correct answer in the following:

The general solution of the DE is
26

Mark (√) against the correct answer in the following:

The general solution of the DE is
27

Mark (√) against the correct answer in the following:

The general solution of the DE is