GATE EE 2019 Set 1 — Question 13
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Engineering Mathematics → Differential Equations → Heat, Wave & Laplace Equations
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Question
The partial differential equation ; where is known as
Correct answer
(B) wave equation
Solution
The given equation is:This is the standard form of the wave equation in two spatial dimensions ( and ). Comparison with other standard PDEs:
- Heat equation: (First order in time)
- Laplace equation: (No time dependence)
- Poisson's equation: (No time dependence, non-zero source term)
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