Question 5: Solve the wave equation initial boundary problem by themethod of separation of variablesPDE : 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 heatequationdu0 < x < 1, t > 06-for the boundary conditions u(0, t) = u(1,t) = 0, t > 0 and initial conditionu(r, 0) = 10(1 – x), 0 < x < 1.

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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

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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