Use the Laplace transform to solve the IBVP Utt - c²urr = k, c, k const. t> 0, x > 0. u (x, 0) = u (x, 0) = u (0, t) = 0, lim u (x, t) = 0, as a → 0

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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Use the Laplace transform to
solve the IBVP
Utt – c²u = k, c, k const. t > 0, x > 0.
u (x, 0) = u (x, 0) = u (0, t) = 0, lim u (x, t) = 0, as x → 0
Transcribed Image Text:Use the Laplace transform to solve the IBVP Utt – c²u = k, c, k const. t > 0, x > 0. u (x, 0) = u (x, 0) = u (0, t) = 0, lim u (x, t) = 0, as x → 0
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