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Solve the Goursat problem: Utt- c²Uxx = 0 u|x-ct=0 = x² u|x+ct=0 = x4. nt: Use the formula for general solutions of wave equation on the real line.

Solve the Goursat problem: Utt- c²Uxx = 0 u|x-ct=0 = x² u|x+ct=0 = x4. nt: Use the formula for general solutions of wave equation on the real line.

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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Solve the Goursat problem: = 0 Utt- c²Uxx u|x-ct=0 = x² u/x+ct=0 = x² nt: Use the formula for general solutions of wave equation on the real line. =
Transcribed Image Text:Solve the Goursat problem: = 0 Utt- c²Uxx u|x-ct=0 = x² u/x+ct=0 = x² nt: Use the formula for general solutions of wave equation on the real line. =
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