PHY2061 R. D. Field Department of Physics chp38_10.doc University of Florida The Wave Equation ∂2222210yxtxvt(,))−=Whenever analysis of a system results in an equation of the form given above then we know that the system supports traveling waves propagating at speed v.General Proof: If y = y(x,t) = f(x-vt) then yxfyxfytvfyt=′=′′=−′=′′22222and 22210tff))′′ −′′ =. Proof for Harmonic Wave:
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