CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Anil Kumar Tondak
CBSE CLASS XII
Differential Equations
Solve the following Differential Equations:
Q. 1. Determine order and degree (if defined) of differential equation y/// + 2 y// + y/ = 0
Q. 2. sec2x. tany dx + sec2y. tanx dy = 0.
Q. 3. xdy – ydx = 
Q. 4. 2xy + y2 – 2x2 dy/dx = 0, y = 2 when x = 1.
Q. 5. x logx. dy/dx + y = (2/x) logx
Q. 6. y dx + (x – y2) dy = 0
Q. 7. (tan-1y - x)dy = (1 + y2) dx
Q. 8. (1 + x2)dy/dx + 2xy = 
;
Q. 9. x2dy + (xy + y2)dx = 0, y = 1 when x = 1
Q. 10. dx/dy + ycotx = 2x + x2cotx, y = 0 when x = 
Q. 11. (x + y)dy = dx
Q. 12. x (xdy – ydx) = ydx, y(1) = 1.
Q. 13. dy/dx = cos(x + y) + sin(x + y)
Q. 14. x dy/dx = y – x tan(y/x).
Q. 15. (x2 + 1) dy/dx + 2xy = 
Q. 16. (x2 + y2)dx + xy.dy = 0, y(1) = 1
Q. 17. (x + y + 1)2 dy = dx, y(-1) = 0
Q. 18. (xy2 + 2x)dx + (x2y + 2y)dy = 0
Q. 19. dy/dx + 
= cosx + 
Q. 20. Solve the differential equation 
Q. 21. Solve the differential equation x2 dy + y ( x + y ) d x = 0, given that y = 1 when x = 1
Q. 22. Solve:
Q. 23.
Q. 24.
Q. 25. Find the differential equation of all circles in the first quadrant which touch the co-ordinate axis.
Q. 26. Form the differential equation corresponding to y2 = m(a2 – x2) by eliminating parameters m and a.
Q. 27. Form the differential equation representing the family of parabolas having vertex at origin and axis along positive direction of x-axis.
Q. 28. Form the differential equation of the family of circles having centre on y-axis
and radius 3 units.
Paper By Mr. Anil Kumar Tondak
Email Id : [email protected]
