78. Show that each of the following functions is a solution of the wave equation utt = a4ung. a. u sin (kx) sin (akt) b. u t/(a2t-2) c.u (x - at) +(a+ at) _ d. u sin ( at) +In (x + at)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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78. Show that each of the following functions is a solution of the wave equation utt
= a4ung.
a. u sin (kx) sin (akt)
b. u t/(a2t-2)
c.u (x - at) +(a+ at)
_
d. u sin ( at) +In (x + at)
Transcribed Image Text:78. Show that each of the following functions is a solution of the wave equation utt = a4ung. a. u sin (kx) sin (akt) b. u t/(a2t-2) c.u (x - at) +(a+ at) _ d. u sin ( at) +In (x + at)
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