Solve the wave equation, 18²u 4 Ət² with the initial conditions Check 8² u მ2 u(x, 0) = cos(x), Vx du(x, 0) Ət using the d'Alembert solution. u(x, t) = = x exp(-x²), V.
Solve the wave equation, 18²u 4 Ət² with the initial conditions Check 8² u მ2 u(x, 0) = cos(x), Vx du(x, 0) Ət using the d'Alembert solution. u(x, t) = = x exp(-x²), V.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Solve the wave equation,
18²u
4 Ət²
with the initial conditions
Check
8² u
მუ2
u(x, 0) = cos(x), Vx
du(x, 0)
Ət
using the d'Alembert solution.
u(x, t) =
= x exp(-x²), V.
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