1D Wave Equation Solution - GATE Aerospace Engineering 2023 Q13 | Examprev

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Aerospace Engineering > GATE 2023 > Wave Equation

Consider the one-dimensional wave equation ∂u/∂t + ∂u/∂x = 0 for -∞ < x < ∞, t ≥ 0. For an initial condition u(x, 0) = e^-x², the solution at t = 1 is

A

u(x, 1) = e^-(x-1)²

B

u(x, 1) = e^-1

C

u(x, 1) = e^-x²

D

u(x, 1) = e^-(x+1)²

Correct : a

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