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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 5: Solve the wave equation initial boundary problem by the
method of separation of variables
PDE : 81 urx = Utt,
t > 0, 0 < x < 7,
6.
ICs: u(0, г) %— 0, и (0, т) — 4г(7— г), 0<т<7,
BCs: u(t, 0) — 0, и(t, 7) %3D 0,
-
t> 0.
Transcribed Image Text:Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 urx = Utt, t > 0, 0 < x < 7, 6. ICs: u(0, г) %— 0, и (0, т) — 4г(7— г), 0<т<7, BCs: u(t, 0) — 0, и(t, 7) %3D 0, - t> 0.
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