Answered: 4.3 Find the solution subject to the… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Question

4.3 Find the solution subject to the following boundary and initial conditions
of the wave equation, Utt = a²uxx-
(b) u(0, t) = u(1,t) = 0, u(x,0) = x(1-x), u₁(x,0) = sin(x)

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(b) Solve the inhomogeneous wave equation on the real line Utt-c²Uzz = sin x, x ER U(x,0) = 0, Ut(x, 0) = 0. Explain what theory you are using and show your full computations.
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