a?u azu Solve the wave equation a2u = u, 0 0 subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t> 0 du at u(x, 0) = x(L - x), = 0, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a?u
azu
Solve the wave equation a2u = u, 0 < x< L, t > 0 subject to the given conditions.
u(0, t) = 0, u(L, t) = 0, t> 0
du
at
u(x, 0) = x(L - x),
= 0, 0 <x< L
%3D
%3D
t = 0
Σ
u(x, t) =
n = 1
Transcribed Image Text:a?u azu Solve the wave equation a2u = u, 0 < x< L, t > 0 subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t> 0 du at u(x, 0) = x(L - x), = 0, 0 <x< L %3D %3D t = 0 Σ u(x, t) = n = 1
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