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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

Explanation
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2. A solution to the partial differential equation  is :

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

Explanation
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3. The partial differential equation  is classified as :

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

Explanation
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4. The partial differential equation  is classified as :

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

Explanation
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5. The partial differential equation  is classified as :

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