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Is this a traveling wave?

  1. Sep 1, 2010 #1
    1. The problem statement, all variables and given/known data

    Is this a traveling wave? If so, find the speed and direction.

    e^-(a^2y^2+b^2t^2-2abty)

    2. Relevant equations

    Probably relevant to know the differential wave equation.

    3. The attempt at a solution

    I have a feeling that this is a traveling wave as it is twice differentiable and appears to be a solution of the differential wave equation.

    I first rearrange the equation to:

    e^-(ay-bt)^2

    So would this be a wave traveling right at speed b? I am unsure if it matters that I am keeping the sqaure in there?
     
  2. jcsd
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