GATE CE 2022 Set 1 — Question 11
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Engineering Mathematics → Partial Differential Equations → 2D Laplace Equation
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Question
Consider the following expression:where , , and are variables, and is a complex number. The partial differential equation derived from the above expression is
Correct answer
(A) (∂² z)/(∂ t²) + (∂² z)/(∂ y²) = 0
Solution
Given .
Differentiating partially with respect to :Differentiating partially with respect to :Adding the two second-order partial derivatives:Thus, option (A) is correct.
Differentiating partially with respect to :Differentiating partially with respect to :Adding the two second-order partial derivatives:Thus, option (A) is correct.
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