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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) It’s easy to show that a travelling pulse whose shape is given by an arbitrary function f , D ( x, t ) = f ³ tx v ´ , is a solution to the wave equation. Just evaluate ∂ 2 D ∂x 2 = µ1 v ¶ 2 f ±± ³ tx v ´ = 1 v 2 f ±± ³ tx v ´ and ∂ 2 D ∂t 2 = f ±± ³ tx v ´ . – p. 1 D ( x, t ) = D sin( kxωt + φ ) – p. 1 Standing Waves – p. 1...
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 Spring '08
 Hickman
 Physics, Fundamental physics concepts, wave equation, waves Wave Equation

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