Answered: 5. Write the solution of the following… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 47RE

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Question

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 = 0,0.5, 1 & 1.5:
Utt = Uxx;
-00 < x < ,
t > 0,
S2 (1 – l2l), -1 <x<1
|0,
u(x, 0) = $(x)
elsewhere
uz (x, 0) = 0,
-0 < x < o.

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