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5. Write the solution of the following Cauchy problem for the wave equation on the real line as a sum of a forward wave and a backward wave and sketch its graph at t = 0,0.5, 1 & 1.5: -00 0, [2 (1 - |a|), -1

5. Write the solution of the following Cauchy problem for the wave equation on the real line as a sum of a forward wave and a backward wave and sketch its graph at t = 0,0.5, 1 & 1.5: -00 0, [2 (1 - |a|), -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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5. Write the solution of the following Cauchy problem for the wave equation on the real line as a sum of a forward wave and a backward wave and sketch its graph at t = 0,0.5, 1 & 1.5: -00 < x < 00, t>0, S2 (1 – |æ|), -1<r<1 10, Utt = Uzz; u(x, 0) = $(x) = elsewhere u (r, 0) = 0, -00 < x < o.
Transcribed Image Text:5. Write the solution of the following Cauchy problem for the wave equation on the real line as a sum of a forward wave and a backward wave and sketch its graph at t = 0,0.5, 1 & 1.5: -00 < x < 00, t>0, S2 (1 – |æ|), -1<r<1 10, Utt = Uzz; u(x, 0) = $(x) = elsewhere u (r, 0) = 0, -00 < x < o.
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