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Wave Equation Solution

It is easily checked that the wave equation $ Ky''=\epsilon {\ddot y}$ is obeyed by any pair of traveling waves

$\displaystyle y(t,x) \;=\;y_r\left(t-\frac{x}{c}\right) \;+\; y_l\left(t+\frac{x}{c}\right)
$

where


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``Computational Acoustic Modeling with Digital Delay'', by Julius O. Smith III, (From Lecture Overheads, Music 420).
Copyright © 2014-03-24 by Julius O. Smith III
Center for Computer Research in Music and Acoustics (CCRMA),   Stanford University
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