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# Differential Equations Test-2 Class 12 Notes | EduRev

## Class 12 : Differential Equations Test-2 Class 12 Notes | EduRev

``` Page 1

CBSE TEST PAPER-02
CLASS - XII MATHEMATICS (Calculus: Differential Equations)
1. Find the order and degree
4
2
2
ds d s
3 0
dt dt
s
? ?
+ =
? ?
? ?

2. Verity that the function is a solution of the corresponding diff eq.
-1 2 1 2
x + y = tan y ; y y + y + 1 = 0

3. Form the differential equation representing the family of ellipses having foci on
x – axis and centre at the origin.

4. Form the diff. eq of the family of circles touching the x – axis at origin. 
5. Solve the diff eq.
( )
x x 2
e tan y dx + 1 e Sec y dy = 0 - 
6.
Solve Cos
dy
=a, ; y = 1 when x = 0
dx
? ?
? ?
? ?

7.
Solve.
( )
2 2
x - y dx+2xy dy = 0

8. Solve
x Cos  + y Sin  y dx = y Sin  - x Cos  x dy
y y y y
x x x x
? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ?

9. Find the particulars solution of diff . equation.
( )
2
1+x 2  dy xy dx Cotx dx + =

10. Find the particular solution of diff. equation
x Cot x = 0
dy
y x xy
dx
+ - +

```
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