Use the Laplace transform to solve the given initial-boundary-value problems. U₁ = Uxx, u(0,1)= 0, u(2,1) = 0, u(x,0) = 3 sin(27x), 00 t> 0, 0

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Use the Laplace transform to solve the given initial-boundary-value problems.
U₁ = Uxx
u(0,t) = 0, u(2, 1) = 0,
u(x,0) = 3 sin(2x),
0<x<2,t>0
t> 0,
0<x<2
Transcribed Image Text:Use the Laplace transform to solve the given initial-boundary-value problems. U₁ = Uxx u(0,t) = 0, u(2, 1) = 0, u(x,0) = 3 sin(2x), 0<x<2,t>0 t> 0, 0<x<2
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