Question 5: Solve the wave equation initial boundary problem by themethod of separation of variablest > 0,0 < a < 7,ICs: u(0, г) — 0, и, (0, 2) — 4г(7 — г), 0<х<7,t > 0.PDE : 81 uer =Utt;BCs : u(t, 0) = 0, u(t, 7) = 0,

we have 81uxx=utt Let ux,t=XxTt T''81T=X''X=-λ2 ⇒T''+81λ2T=0 .............iand X''+λ2X=0…

Answered: Question 5: Solve the wave equation…

Question 5: Solve the wave equation initial boundary problem by the nethod of separation of variables PDE : 81 uzz = Utt; ICs: u(0, 2) = 0, u:(0, x) = 4r(7 – 2), 0 0, 0 < a < 7, %3D t>0.

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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