Find the solution to the wave equation on 0≤x≤ with the boundary conditions and the initial conditions 8² u Ət² u(x,0) = sin(x), 4 J²u ?х2 u(0, t) = 0, u(π, t) = 0 ut (x,0) = 3 sin(x) + sin(5x).
Find the solution to the wave equation on 0≤x≤ with the boundary conditions and the initial conditions 8² u Ət² u(x,0) = sin(x), 4 J²u ?х2 u(0, t) = 0, u(π, t) = 0 ut (x,0) = 3 sin(x) + sin(5x).
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:Find the solution to the wave equation
on 0≤x≤ with the boundary conditions
and the initial conditions
8² u
Ət²
u(x,0) = sin(x),
4
J²u
Əx²
u(0,t) = 0, u(π, t) = 0
ut (x, 0) = 3 sin(x) + sin(5x).
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