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Wave equation

  1. Sep 14, 2009 #1
    1. The problem statement, all variables and given/known data[/b

    Determine whether the function D=A sin kx cos [tex]\omega[/tex]t
    is a solution of the wave equation.

    2. Relevant equations

    D=Asin (kx-[tex]\omega[/tex]t)

    3. The attempt at a solution

    sorry completely lost please help
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 14, 2009 #2
    This is the (linear) wave equation:
    http://hyperphysics.phy-astr.gsu.edu/HBASE/Waves/waveq.html
    The one you're focusing on is the top one.

    You'll have to find the second partial derivative of D with respect to x and of D with respect to t. The velocity is given by v = w/k. To check whether the given wave is a solution to the wave equation, you just have to plug things in and see if it works out. The linear wave equation is a general property of linear waves. I forgot what the key characteristics of linear waves were, but if the wave does follow this wave equation, then it holds these characteristics.
     
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