5. Write the solution of the following Cauchy problem for the wave equation on thereal line as a sum of a forward wave and a backward wave and sketch its graph att = 0, 1, 1.5, 2, 3 & 3.5:Utt = Uxz; -∞ < x < o∞, t>0,[2 (3 – |r|), -3

Given utt=uxx , -∞<x<∞ , t>0 u(x,0)=ϕ(x)=2(3-x), -3≤x≤30,…

Answered: 5. Write the solution of the following…

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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5. Write the solution of the following Cauchy problem for the wave equation on the real line as a sum of a forward wave and a backward wave and sketch its graph at t = 0, 1, 1.5, 2, 3 & 3.5: Uu = Uzz, -∞ 0, S2 (3 – |r|), -3