Solve the wave equation a 2 0 < x< L, t > 0 (see (1) in Section 12.4) subject to the given conditions. = u(0, t) = 0, u(L, t) = 0, t> 0 du u(x, 0) = 0, = x(L - x), 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Solve the wave equation a
2
0 < x< L, t > 0 (see (1) in Section 12.4) subject to the given conditions.
=
u(0, t) = 0, u(L, t) = 0, t> 0
du
u(x, 0) = 0,
= x(L - x), 0<x < L
It = 0
Σ
u(x, t) =
+
n = 1
Transcribed Image Text:Solve the wave equation a 2 0 < x< L, t > 0 (see (1) in Section 12.4) subject to the given conditions. = u(0, t) = 0, u(L, t) = 0, t> 0 du u(x, 0) = 0, = x(L - x), 0<x < L It = 0 Σ u(x, t) = + n = 1
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