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Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uxx = Utt, t > 0, 0 < x < 7, ICs: u(0, г) 3 0, и, (0, х) — 4(7 — х), 0<т<7, BCs : u(t, 0) = 0, u(t,7) = 0, | t > 0.

Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uxx = Utt, t > 0, 0 < x < 7, ICs: u(0, г) 3 0, и, (0, х) — 4(7 — х), 0<т<7, BCs : u(t, 0) = 0, u(t,7) = 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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Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 ux = Utt, t > 0, 0 < x < 7, ICs : u(0, x) = 0, u;(0, x) = 4.x(7 – x), 0 <x <7, BCs : u(t, 0) = 0, u(t,7) = 0, t > 0.
Transcribed Image Text:Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 ux = Utt, t > 0, 0 < x < 7, ICs : u(0, x) = 0, u;(0, x) = 4.x(7 – x), 0 <x <7, BCs : u(t, 0) = 0, u(t,7) = 0, t > 0.
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