ODE & PDE MCQ
Question 1-
- 2x2y2 = –1
- 4x4y = – 1
- 2xy4 = –1
- 4x4y4 = –1Question 2- Using the method of variation of parameters, the particular integral
of the differential equation
can be expressed as
, where A(x) and B(x) are given by
A. (x) =B.C.D.Question 3-The general solution of the differential equationis of the form F(u, v) = 0 where u(x, y, z) = C1 and v(x, y, z) = C2 are given by
A.B.C.D.Question 4-For x = r cos q, y = r sin q, which of the following is/are correctA.B.C.D.Question 5-Let u (x, t) be the solution of utt = uxx: 0 < x < 1, t > 0, u(x, 0) = x(1 + x), ut(x, 0) = 0 thenA. u (1, 0) = 4B.C. u (1, 0) = 2D.Question 6-For the differential equationA. x = 1 is an ordinary pointB. x = 1 is a regular singular pointC. x = 0 is an irregular singular pointD. x = 0 is an ordinary pointQuestion 7-The general solution of the system of differential equations
is given
A.:
B.:
C.:
D.:
Question 8-Letbe solutions of y” – 2xy + (sin x2) y = 0 such that
&
. Then the value of the Wronskian
at x = 0 is-
A. 0B. 1C. ED. NoneQuestion 9-The general solutionof the system x’ = -x + 2y & y’ = 4x + y is given by
A.B.C.D.Question 10-Which of the following is/are false for the partial differential equationA. Elliptic in the region x < 0, y < 0, xy > 1B. Elliptic in the region x > 0, y > 0, xy > 1C. Parabolic in the region x < 0, 4 < 0, xy > 1D. Hyperbolic in the region x < 0, y < 0, xy > 1
Answer Key For ODE & PDE MCQ | |
Question Number | Answer Key |
1 | B |
2 | B |
3 | B |
4 | D |
5 | B and C |
6 | B |
7 | C |
8 | D |
9 | A |
10 | A, B and C |
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