4. Use method of separation of variable to solve the following wave equationმłuJ²usubject tou(0,t) =0, for t> 0,u(л,t) = 0, for t> 0,=t> 0,at²ax²'u(x, 0) = 0,0.01 x,ut(x, 0) =Π0.01 (π-x),0

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Answered: 4. Use method of separation of variable…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Solve the inhomogeneous wave equation on the real lineUtt − c2Uxx = sin x, x ∈ RU(x, 0) = 0, Ut(x, 0) = 0.Explain what theory you are using and show your full computations.
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4. Use method of separation of variable to solve the following wave equation მłu J²u subject to u(0,t) =0, for t> 0, u(л,t) = 0, for t> 0, = t> 0, at² ax²' u(x, 0) = 0, 0.01 x, ut(x, 0) = Π 0.01 (π-x), 0