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Solve the wave equation a - u(0,t) = 0, u(L,t) = 0, t> 0 u(x, 0) = x(L - x), Ju at ,0 0 (see (1) in Section 12.4) subject to the given conditions. ■ 0, 0 < x

Solve the wave equation a - u(0,t) = 0, u(L,t) = 0, t> 0 u(x, 0) = x(L - x), Ju at ,0 0 (see (1) in Section 12.4) subject to the given conditions. ■ 0, 0 < x

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 wave equation a - u(0,t) = 0, u(L,t) = 0, t> 0 u(x, 0) = x(L - x), Ju at ,0<x<L, t> 0 (see (1) in Section 12.4) subject to the given conditions. ■ 0, 0 < x <L u(x, t)=0 0 + Σ 17 1 (n) (1-(-1)n) cos(an) I sin ("AL) ) (−1)n)cos x
Transcribed Image Text:Solve the wave equation a - u(0,t) = 0, u(L,t) = 0, t> 0 u(x, 0) = x(L - x), Ju at ,0<x<L, t> 0 (see (1) in Section 12.4) subject to the given conditions. ■ 0, 0 < x <L u(x, t)=0 0 + Σ 17 1 (n) (1-(-1)n) cos(an) I sin ("AL) ) (−1)n)cos x
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