Solve the following wave equation using partial Laplace transform: a²ua²u + sinxx; 0≤x≤ 1, tz0 at² ex² u(x,0) = 0,2(x,0) = 0 at u(0, t) = 0, u(1, t) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following wave equation using partial Laplace transform:
16
+ sin zx;
0≤x≤ 1, tz0
at²
2x²
u(x,0) = 0,
at
u(0, t) 0, u(1, t) = 0
(x,0) = 0
Transcribed Image Text:Solve the following wave equation using partial Laplace transform: 16 + sin zx; 0≤x≤ 1, tz0 at² 2x² u(x,0) = 0, at u(0, t) 0, u(1, t) = 0 (x,0) = 0
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