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Important Questions

CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Anil Kumar Tondak

CBSE CLASS XII

Differential Equations

Q. 1. sec2x. tany dx + sec2y. tanx dy = 0.

Q. 2. xdy – ydx =

Q. 3. 2xy + y2 – 2x2 dy/dx = 0 y = 2 when x = 1

Q. 4. x logx. dy/dx + y = (2/x) logx

Q. 5. y dx + (x – y2) dy = 0

Q. 6. (tan-1y -  x)dy = (1 + y2) dx
Q. 7. (1 + x2)dy/dx + 2xy = y = 0 when x = 1

Q. 8. x2dy + (xy + y2)dx = 0 y = 1 when x = 1

Q. 9. dx/dy + ycotx = 2x + x2cotx y = 0 when x =

Q. 10. (x + y)dy = dx

Q. 11. x (xdy – ydx) = ydx y(1) = 1.

Q. 12. dy/dx = cos(x + y) + sin(x + y)

Q. 13. x dy/dx = y – x tan(y/x).
Q. 14. (x2 + 1) dy/dx + 2xy =

Q. 15. (x2 + y2)dx + xy.dy = 0 y(1) = 1

Q. 16. (x + y + 1)2 dy = dx, y(-1) = 0

Q. 17. (xy2 + 2x)dx + (x2y + 2y)dy = 0

Q. 18. dy/dx + = cosx +

Q. 19. Find the differential equation of all circles in the first quadrant which touch the co-ordinate axis.

Q. 20. Form the differential equation corresponding to y2 = m(a2 – x2) by eliminating parameters m and a.

Prepared By Anil Kumar Tondak
M.Sc.(Maths), M.Ed., M.A.(Eco),M.B.A.(Mkt)
Mob No. 9811363962

Maths
  1. Application of Derivatives
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Integrals
  6. Differential Equations
  7. Application of Integrals
  8. Continuity & Differentiation
  9. Vector Algebra
  10. Three Dimensional Geometry
  11. Probability
  12. Linear Programming
  13. Relations & Functions