5. Solve the initial-boundary value problem u(x, t) = c²u(x, t) for 0 0; u(x, 0) = sin 2x; u₁(x,0) = re-²; u(0, t) = 0 for all t > 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Solve the initial-boundary value problem
u(x, t) = c²u(x, t) for 0<x<∞,t> 0;
u(x, 0) = sin 2x;
u₁(x,0) = re-²;
u(0, t) = 0
for all t > 0.
Transcribed Image Text:5. Solve the initial-boundary value problem u(x, t) = c²u(x, t) for 0<x<∞,t> 0; u(x, 0) = sin 2x; u₁(x,0) = re-²; u(0, t) = 0 for all t > 0.
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