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Unformatted text preview: 1 v 2 2 D t 2 = 0 p. The Wave Equation 2 D x 21 v 2 2 D t 2 = 0 ( v = speed of wave) p. The Wave Equation 2 D x 21 v 2 2 D t 2 = 0 ( v = speed of wave) Its easy to show that a travelling pulse whose shape is given by an arbitrary function f , D ( x, t ) = f tx v , is a solution to the wave equation. Just evaluate 2 D x 2 = 1 v 2 f tx v = 1 v 2 f tx v and 2 D t 2 = f tx v . p. 1 D ( x, t ) = D sin( kxt + ) p. 1 Standing Waves p. 1...
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 Spring '08
 Hickman
 Physics

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