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a²u Solve the wave equation a². 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t > 0 au u(х, 0) — 0, = x(L – x), 0 < x < L at t = 0 Σ( 4L (1 - cos (x)) (sin(n)) u(x, t) = | 0 Nta n = 1

a²u Solve the wave equation a². 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t > 0 au u(х, 0) — 0, = x(L – x), 0 < x < L at t = 0 Σ( 4L (1 - cos (x)) (sin(n)) u(x, t) = | 0 Nta n = 1

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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a²u Solve the wave equation a². 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t > 0 au u(х, 0) — 0, = x(L – x), 0 < x < L at t = 0 Σ( 4L (1 - cos (x)) (sin(n)) u(x, t) = | 0 Nta n = 1
Transcribed Image Text:a²u Solve the wave equation a². 0 < x < L, t > 0 (see (1) in Section 12.4) subject to the given conditions. u(0, t) = 0, u(L, t) = 0, t > 0 au u(х, 0) — 0, = x(L – x), 0 < x < L at t = 0 Σ( 4L (1 - cos (x)) (sin(n)) u(x, t) = | 0 Nta n = 1
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