JEE Main - Ordinary differential equations order and degree Online Test (MCQ Quiz)

1. What is the order of the differential equation dy/dx + y = x?

A) 0 B) 1 C) 2 D) 3

2. Determine the degree of the differential equation d^2y/dx^2 + (dy/dx)^2 = x^2.

A) 1 B) 2 C) 3 D) 4

3. The order of the differential equation (d^3y/dx^3)^2 + (d^2y/dx^2)^3 + dy/dx + y = 0 is:

A) 1 B) 2 C) 3 D) 6

4. What is the degree of the differential equation dy/dx = sin(x)?

A) 0 B) 1 C) 2 D) Undefined

5. Find the order of the differential equation y'' + 5y' - 6y = 0.

A) 1 B) 2 C) 3 D) 0

6. The degree of the differential equation (dy/dx)^3 + dy/dx - x = 0 is:

A) 1 B) 2 C) 3 D) 4

7. What is the order of the differential equation d^4y/dx^4 = cos(x)?

A) 1 B) 2 C) 3 D) 4

8. Determine the degree of the differential equation sqrt(1 + (dy/dx)^2) = a(d^2y/dx^2).

A) 1 B) 2 C) 3 D) 4

9. The differential equation xy'' + y' + y = x^2 has an order of:

A) 1 B) 2 C) 3 D) 0

10. What is the degree of the differential equation (d^2y/dx^2)^1/2 + dy/dx = 0?

A) 1 B) 2 C) 3 D) 4

11. Find the order of the differential equation x(d^2y/dx^2) + x^2(dy/dx) + y = 0.

A) 1 B) 2 C) 3 D) 4

12. The degree of the differential equation dy/dx + y = x dy/dx is:

A) 0 B) 1 C) 2 D) 3

13. What is the order of the differential equation d^3y/dx^3 + 2(d^2y/dx^2) + dy/dx = e^x?

A) 1 B) 2 C) 3 D) 0

14. Determine the degree of the differential equation d^2y/dx^2 + dy/dx + sin(y) = 0.

A) 1 B) 2 C) 3 D) Undefined

15. The order of the differential equation (dy/dx)^2 + y = x is:

A) 0 B) 1 C) 2 D) 3

16. What is the degree of the differential equation d^2y/dx^2 = y + (dy/dx)^2?

A) 1 B) 2 C) 3 D) 4

17. Find the order of the differential equation y'' = (1 + (y')^2)^(3/2).

A) 1 B) 2 C) 3 D) 4

18. The degree of the differential equation dy/dx = y is:

A) 0 B) 1 C) 2 D) 3

19. What is the order of the differential equation d^5y/dx^5 + y = 0?

A) 1 B) 3 C) 5 D) 0

20. Determine the degree of the differential equation (d^2y/dx^2)^2 = dy/dx - 1.

A) 1 B) 2 C) 3 D) 4

21. The order of the differential equation sin(x) dx + cos(y) dy = 0 is:

A) 0 B) 1 C) 2 D) 3

22. What is the degree of the differential equation y = x(dy/dx) + (dy/dx)^2?

A) 0 B) 1 C) 2 D) 3

23. Find the order of the differential equation d^2y/dx^2 + x(dy/dx) + y = sin(x).

A) 1 B) 2 C) 3 D) 0

24. The degree of the differential equation (d^3y/dx^3) + (dy/dx)^2 = 0 is:

A) 1 B) 2 C) 3 D) 6

25. What is the order of the differential equation (dy/dx)^3 = x^2 + y?

A) 1 B) 2 C) 3 D) 0

26. Determine the degree of the differential equation dy/dx = x.

A) 0 B) 1 C) 2 D) 3

27. The order of the differential equation d^2y/dx^2 + 2(dy/dx)^2 + y = 0 is:

A) 1 B) 2 C) 3 D) 4

28. What is the degree of the differential equation (d^3y/dx^3)^2 + (d^2y/dx^2) + dy/dx = 0?

A) 1 B) 2 C) 3 D) 6

29. Find the order of the differential equation y'' + y' = x.

A) 1 B) 2 C) 3 D) 0

30. The degree of the differential equation (dy/dx) + y = x is:

A) 0 B) 1 C) 2 D) 3

31. What is the order of the differential equation dy/dx = sqrt(y)?

A) 0 B) 1 C) 2 D) 3

32. Determine the degree of the differential equation d^2y/dx^2 + (dy/dx)^3 = x.

A) 1 B) 2 C) 3 D) 4

33. The order of the differential equation d^4y/dx^4 + y = 0 is:

A) 1 B) 2 C) 3 D) 4

34. What is the degree of the differential equation d^3y/dx^3 = (dy/dx)^2?

A) 1 B) 2 C) 3 D) 6

35. Find the order of the differential equation y''' + y'' + y' + y = 0.

A) 1 B) 2 C) 3 D) 4

36. The degree of the differential equation (d^2y/dx^2)^1/2 = dy/dx is:

A) 1 B) 2 C) 3 D) 4

37. What is the order of the differential equation dy/dx = y/x?

A) 0 B) 1 C) 2 D) 3

38. Determine the degree of the differential equation x(dy/dx) + y = x^2.

A) 0 B) 1 C) 2 D) 3

39. The order of the differential equation d^2y/dx^2 + 5(dy/dx) = 0 is:

A) 1 B) 2 C) 3 D) 0

40. What is the degree of the differential equation dy/dx + y^2 = x?

A) 0 B) 1 C) 2 D) 3

41. Find the order of the differential equation d^3y/dx^3 = x + dy/dx.

A) 1 B) 2 C) 3 D) 0

42. The degree of the differential equation (d^2y/dx^2)^3 + (dy/dx)^2 = 0 is:

A) 1 B) 2 C) 3 D) 6

43. What is the order of the differential equation dy/dx = cos(x)?

A) 0 B) 1 C) 2 D) 3

44. Determine the degree of the differential equation (dy/dx)^2 + x(dy/dx) + y = 0.

A) 0 B) 1 C) 2 D) 3

45. The order of the differential equation d^2y/dx^2 + y = 0 is:

A) 1 B) 2 C) 3 D) 0

46. What is the degree of the differential equation x(dy/dx) + y = x?

A) 0 B) 1 C) 2 D) 3

47. Find the order of the differential equation d^4y/dx^4 + dy/dx = sin(x).

A) 1 B) 2 C) 3 D) 4

48. The degree of the differential equation (d^3y/dx^3) + 2(d^2y/dx^2) + dy/dx = 0 is:

A) 1 B) 2 C) 3 D) 6

49. What is the order of the differential equation d^2y/dx^2 + x^2y = 0?

A) 1 B) 2 C) 3 D) 0

50. Determine the degree of the differential equation dy/dx = y.

A) 0 B) 1 C) 2 D) 3

Ordinary differential equations order and degree - Online Test

Test Results