Use separation of variables to solve Utt + u Ut + U = Uxx, 0 0, u(0, t) = u(1, t) = 0, t > 0, u(x, 0) = sin 2πx, 0 < x < 1, ut (x,0) = 0, 0 < x < 1.
Use separation of variables to solve Utt + u Ut + U = Uxx, 0 0, u(0, t) = u(1, t) = 0, t > 0, u(x, 0) = sin 2πx, 0 < x < 1, ut (x,0) = 0, 0 < x < 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use separation of variables to solve
Utt + Ut + U = Uxx, 0 < x < 1, t > 0,
u(0, t) = u(1, t) = 0, t > 0,
u(x, 0) = sin 2πx, 0 < x < 1,
ut (x,0) = 0, 0 < x < 1.
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