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Homework Help: Wave equation under a Galilean transform.

  1. Jan 23, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that the wave equation becomes
    [tex]\left(1-\frac{V^{2}}{c^{2}}\right)\frac{\partial^{2}\psi'}{\partial x'^{2}}-\frac{1}{c^{2}}\frac{\partial^{2}\psi'}{\partial t'^{2}}+\frac{2V}{c^{2}}\frac{\partial^{2}\psi'}{\partial t' \partial x'} = 0[/tex]

    under a Galilean transform if the referential R' moves at constant speed V along the x axis.

    2. Relevant equations

    3. The attempt at a solution

    Frankly I don't really know how to do that. I tried using a general solution with x = x' + Vt' and using it in the normal wave equation, but gave me nothing good. Now I don't even know what else I could do.
  2. jcsd
  3. Jan 24, 2010 #2
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