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Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uzr = Utt, ICs: u(0, т) — 0, и(0, т) — 4г (7— 2), BCs : u(t,0) — 0, и(t, 7) — 0, t > 0,0 < x < 7, 0 < x < 7, t> 0. %3D

Question 5: Solve the wave equation initial boundary problem by the method of separation of variables PDE : 81 uzr = Utt, ICs: u(0, т) — 0, и(0, т) — 4г (7— 2), BCs : u(t,0) — 0, и(t, 7) — 0, t > 0,0 < x < 7, 0 < x < 7, t> 0. %3D

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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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.
Question 4: Using the method of separation of variables solve the heat equation du 0 < x < 1, t > 0 6- for the boundary conditions u(0, t) = u(1,t) = 0, t > 0 and initial condition u(r, 0) = 10(1 – x), 0 < x < 1.
Transcribed Image Text:Question 4: Using the method of separation of variables solve the heat equation du 0 < x < 1, t > 0 6- for the boundary conditions u(0, t) = u(1,t) = 0, t > 0 and initial condition u(r, 0) = 10(1 – x), 0 < x < 1.
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