Solve the problem PDE: Ut=4uzz BC: u(0,t) = u(1, t) = 0 C: u(a,0) = 8 sin(2x), u(x, t) = 0 0 u₂(x,0) = 9 sin(3πx)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the problem
PDE: Utt = 4UTT
BC: u(0, t) = u(1, t) = 0
IC: u(x,0) = 8 sin(2x),
u(x, t) =
0<x<1,
t> 0
ut(x,0) = 9 sin (3x)
Transcribed Image Text:Solve the problem PDE: Utt = 4UTT BC: u(0, t) = u(1, t) = 0 IC: u(x,0) = 8 sin(2x), u(x, t) = 0<x<1, t> 0 ut(x,0) = 9 sin (3x)
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