Solve the wave equation on half-line (x > 0): Utt-c²Uzz = 0 u(x,0) = sin r u₁(x,0) = c cos x u(0, t) = t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Solve the wave equation on half-line (x > 0):
utt - c²Uzz = 0
u(x, 0) = sin x
u₁(x, 0) = c cos x
u(0, t)
= t
Transcribed Image Text:3. Solve the wave equation on half-line (x > 0): utt - c²Uzz = 0 u(x, 0) = sin x u₁(x, 0) = c cos x u(0, t) = t
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