Differential Equations Class 12 MCQs Questions with Answers

1. 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

2.

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

then the value of 2p – 3q is

4. The solution of the initial value problem

5. General solution of

6.

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

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

9.

10.

11.

12. Solution of the differential equation

13.

14. The order and degree of the differential equation

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

16. The order of the differential equation:

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

18.

19.

20. 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