Differential Equations Class 12 MCQs Questions with Answers

1. The differential equation of the family of cuves x² + y² – 2ay = 0, where a is arbitrary constant is

2. The order of the differential equation:

3. If p and q are the degree and order of the differential equation

then the value of 2p – 3q is

4.

5. The curve for which the slope of the tangent at any point is equal to the ratio of the abcissa to the ordinate of the point is

6. Solution of the differential equation

7.

8.

9. The order and degree of the differential equation

10.

11. General solution of

12. The order and degree of the differential equation, of which xy = cex + be-x + x2 is a solution, is

13.

14. The equation of the curve in which the portion of the tangent included between the coordinate axes is bisected at the point of contact, is

15.

16.

17. The solution of the initial value problem

18.

19. The order of the differential equation of all the circles of given radius 4 is

20. Solution of differential equation xdy – ydx = Q represents