UNIT-I

PARTIAL DIFFERENTIAL EQUATIONS

1. The complete integral of is ____

(i) (ii) (iii)

(iv)

2. The complete integral of is _____

(i) (ii) (iii)

(iv)

3. The complete integral of is

(i) (ii) (iii)

(iv)

4. The solution to is

(i) (ii) (iii)

(iv)

5. The partial differential equation formed by eliminating arbitrary constant is

is

(i) (ii) (iii) (iv)

6. The partial differential equation formed by eliminating arbitrary constant in

(i) (ii) (iii)

(iv)

7. The partial differential equation formed by eliminating arbitrary function in

is

(i) (ii) (iii) (iv)

8. The general integral of is

(i) (ii) (iii)

(iv) .

9. The general integral of is

(i) (ii) (iii)

(iv)

10. The solution to is

(i) z (ii) (iii)

(iv)

11. The solution which has number of arbitrary constants equal to number of

independent variables is

(i) general integral (ii) complete integral (iii) particular integral

(iv) singular integral

12. The complete integral of is

(i) (ii)

(iii) (iv)

13. Solve

(i)

(ii)

(iii)

(iv)

14. Solve

(i)

(ii)

(iii)

(iv)

15. The complementary function of

(i)

(ii)

(iii)

(iv)

16. The particular integral of is

(i) (ii) (iii) (iv)

17. The particular integral of is

(i) (ii) (iii) (iv)

18. The partial differential equation is of the form

(i) parabolic (ii) elliptic (iii) hyperbolic (iv) none of these

19. The particular integral of is

(i) (ii) (iii) (iv)

20. The complete integral of is

(i) (ii)

(iii) (iv)

21. If complete integral is the singular integral is

(i) (ii) (iii) (iv)

22. The partial differential equation is elliptic if

(i) >0 (ii) (iii) (iv) < 0

23. The degree and order of is

(i) 2, 3 (ii) 1, 3 (iii) 3, 2 (iv) 1, 3

24. is elliptic in _______ region

(i) (ii) (iii) (iv)

25. The general solution of

(i) (ii)

(iii) (iv)