GATE CE 2018 Set 1 — Question 47
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Engineering Mathematics → Partial Differential Equations → 1D Wave Equation (Second-Order)
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Question
The solution at of the partial differential equation subject to initial conditions of and is ______
Correct answer
(D) 6
Solution
The given partial differential equation is , which can be rewritten in the standard wave equation form as:Here, , so .The D'Alembert's solution for the wave equation with initial conditions and is:Given and . We need to find :Thus, the correct option is (D).
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