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Utt = c²uxx u(0, t) = 0 u(x,0) = ax, 0< x 0 t> 0

Utt = c²uxx u(0, t) = 0 u(x,0) = ax, 0< x 0 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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Solve the vibrating string of length L with ends fixed at x = 0 and free at x = L respectively

 

2 c²uxx Utt = u(0, t) = 0 u(x,0) = ax, 0< x <L ux (L, t) = 0, ut(x,0) = 0 t> 0 t> 0
Transcribed Image Text:2 c²uxx Utt = u(0, t) = 0 u(x,0) = ax, 0< x <L ux (L, t) = 0, ut(x,0) = 0 t> 0 t> 0
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