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Partial Differential Equations – 1 – 1

1. A partial differential equation requires :

(a) exactly one independent variable
(b) more than one dependent variable
(c) two or more independent variables
(d) equal number of dependent and independent variables

Answer
Answer : (c)

Explanation
No answer description available for this question. Let us discuss.

2. A solution to the partial differential equation 2016-08-06_6-28-53 is :

(a) cos(3x – y)
(b) x2 + y2
(c) sin(3x – y)
(d) e-3πx sin(πy)

Answer
Answer : (d)

Explanation
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3. The partial differential equation 2016-08-06_6-34-52 is classified as :

(a) elliptic
(b) parabolic
(c) hyperbolic
(d) none of the above

Answer
Answer : (a)

Explanation
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4. The partial differential equation 2016-08-06_6-35-07 is classified as :

(a) elliptic
(b) parabolic
(c) hyperbolic
(d) none of the above

Answer
Answer : (b)

Explanation
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5. The partial differential equation 2016-08-06_6-35-18 is classified as :

(a) elliptic
(b) parabolic
(c) hyperbolic
(d) none of the above

Answer
Answer : (c)

Explanation
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