Lecture4 - Proof that f (x vt) solves the wave equation u =...

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Proof that f ( x ± v t ) solves the wave equation Write f ( x ± v t ) as f ( u ) , where u = x ± v t . So and Now, use the chain rule: So and Substituting into the wave equation: 1 u x = v u t = ± f f u x u x ∂ ∂ = f f u t u t ∂ ∂ = f f x u = v f f t u
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This note was uploaded on 02/16/2011 for the course PHYS 2163 taught by Professor Briscoe during the Fall '10 term at GWU.

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