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Wednesday, November 22, 2017

CBSE CLASS 12 DIFFERENTIAL EQUATION (HOMOGENEOUS) PRACTICE QUESTIONS

Homogeneous Differential Equation

HOMOGENEOUS DIFFERENTIAL EQUATION PRACTICE QUESTIONS 

1.   Solve the differential equation x 2 dy+y( x+y )dx=0 given that y=1 when x=1.

2.   Solve the differential equation
( x+y )dy+(xy)dx=0,giventhaty=1whenx=1. 

3.   Solve x 2 ydx( x 3 + y 3 )dy=0 

4.   Find the particular solution of the differential equation:
  ( x 2 +xy )dy=( x 2 + y 2 )dxgiventhaty=0whenx=1. 

5.   Solve
  y{ xcos( y x )+ysin( y x ) }dxx{ ysin( y x )xcos( y x ) }dy=0 

6.   Solve: 2y e x y dx+( y2x e x y )dy=0 

7.   Solve the following initial value problem
(i)   x dy dx sin( y x )+xysin( y x )=0,y( 1 )= π 2 
(ii)  2 x 2 dy dx 2xy+ y 2 =0,y( e )=e
(iii)  dy dx y x +cosec y x =0,y( 1 )=0
(iv)  { x sin 2 ( y x )y }dx+xdy=0,y( 1 )= π 4 

8.Find the particular solution of the differential equation
  xcos( y x ) dy dx =ycos( y x )+x,giventhatwhenx=1,y= π 4 

9.Find the particular solution of the differential equation 
( xy ) dy dx =x+2y,giventhatwhenx=1,y=0 

10.  Find the particular solution of the differential equation dy dx = xy x 2 + y 2 giventhaty=1whenx=0

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Also Read : CBSE Class 12 Maths Exam Pattern and Important Topics

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