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Consider the wave problem -0 0, J1-r, -1

Consider the wave problem -0 0, J1-r, -1

Advanced Engineering Mathematics
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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Consider the wave problem -0 < x < o, t>0, |1- r2, -1< I < 1, u(x,0) = f(x) = (0, otherwise, du (r, 0) = 0. a) Determine the solution u(x,t). b) Sketch the solution for t = 1/2, t = 1, and t = 2.
Transcribed Image Text:Consider the wave problem -0 < x < o, t>0, |1- r2, -1< I < 1, u(x,0) = f(x) = (0, otherwise, du (r, 0) = 0. a) Determine the solution u(x,t). b) Sketch the solution for t = 1/2, t = 1, and t = 2.
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