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Utt = 9uxx, u(0, t) = u(1, t) = 0 u(x, 0) = sin 2πX Ut(x, 0) = sin 3πX 0 < x < 1, t>0

Utt = 9uxx, u(0, t) = u(1, t) = 0 u(x, 0) = sin 2πX Ut(x, 0) = sin 3πX 0 < x < 1, t>0

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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A) Can u solve this question using d'Alembert's solution 

B) Can u sketch the solution for t= 0.6, 0.8, 1 on the same graph. Also can you explain what is happening at x= 0.5 

Utt = - 9Uxx, u(0, t) = u(1, t) = 0 u(x,0) = sin 2πX ut(x, 0) = sin 3πX 0<x< 1, t> 0
Transcribed Image Text:Utt = - 9Uxx, u(0, t) = u(1, t) = 0 u(x,0) = sin 2πX ut(x, 0) = sin 3πX 0<x< 1, t> 0
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