Answered: Solve the Goursat problem:    Utt…

Solve the Goursat problem:    Utt − c 2Uxx = 0 u|x−ct=0 = x 2 u|x+ct=0 = x 4 . Hint: Use the formula for general solutions of wave equation on the real line.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

Solve the Goursat problem:    Utt − c 2Uxx = 0 u|x−ct=0 = x 2 u|x+ct=0 = x 4 . Hint: Use the formula for general solutions of wave equation on the real line.

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