Differential Equations Test-2 Class 12 Notes | EduRev

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

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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
? ?
+ =
? ?
? ?
[1] 
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
[1] 
3. Form the differential equation representing the family of ellipses having foci on
x – axis and centre at the origin.
[4] 
4. Form the diff. eq of the family of circles touching the x – axis at origin. [4] 
5. Solve the diff eq.
( )
x x 2
e tan y dx + 1 e Sec y dy = 0 - [4] 
6. 
Solve Cos 
dy
=a, ; y = 1 when x = 0
dx
? ?
? ?
? ?
[4] 
7.
Solve.
( )
2 2
x - y dx+2xy dy = 0
[4] 
8. Solve
x Cos  + y Sin  y dx = y Sin  - x Cos  x dy
y y y y
x x x x
? ? ? ? ? ? ? ? ? ? ? ?
? ? ? ?
? ? ? ? ? ? ? ?
? ? ? ? ? ? ? ? ? ? ? ?
[4] 
9. Find the particulars solution of diff . equation.
( )
2
1+x 2  dy xy dx Cotx dx + =
[6] 
10. Find the particular solution of diff. equation
x Cot x = 0
dy
y x xy
dx
+ - +
[6] 
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