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This mock test of Partial Differential Equation MCQ - 1 for Mathematics helps you for every Mathematics entrance exam.
This contains 15 Multiple Choice Questions for Mathematics Partial Differential Equation MCQ - 1 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Partial Differential Equation MCQ - 1 quiz give you a good mix of easy questions and tough questions. Mathematics
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QUESTION: 1

The order of equation p tan y + q tan x = sec^{2}z is

Solution:

QUESTION: 2

Equation is of the order

Solution:

QUESTION: 3

The equation (2x + 3y)p + 4xq — 8pq = x + y is

Solution:

QUESTION: 4

Solution:

QUESTION: 5

A bounded solution to P. D. E.

Solution:

QUESTION: 6

The equation P_{p} + Q_{q} + R is known as

Solution:

QUESTION: 7

The general solution of (y — z)p + (z — x)q = x — y is

Solution:

QUESTION: 8

The integral surface to the first order p. d. e 2 y (z — 3) through the curve x^{2} + y^{2} = 2x, z = 0 is

Solution:

QUESTION: 9

Complete integral for the partial differential equation z = px + gy — sin(pq) is

Solution:

QUESTION: 10

The general integral of the partial differential equation (y + z x) z_{x} — (x + yz)Z_{y} = x^{2} — y^{2} is

Solution:

QUESTION: 11

The complete integral of q(p — cosx) = cosy

Solution:

QUESTION: 12

Consider the following statement about the following p. d. e. p + q — pq = 0

(i) it has no singular solutions

(iv) It is a first order non — linear p. d. e. Then choose the

correct code.

Solution:

QUESTION: 13

Integral surface of (2x y — l)p + (z — 2x^{2})q = 2(x — yz) passing through the line x_{0} (s) = 1 y_{0}(s) = 0 z_{0}(s) = s

Solution:

QUESTION: 14

Integral surface of PDE x^{2}p + y^{2}q = —z^{2} which passes through hyperbola xy = x + y, z = 1 is given by

Solution:

QUESTION: 15

Consider 4xyz = pq + 2px^{2}y + 2qxy^{2}

(i) It can be reduced to Claerut's form by some suitable transformation.

(ii) z = ax + by + ab is complete integral

(iii) z = —x^{2}y^{2} is singular solution choose correct code.

Solution:

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