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Transverse Travelling Wave

  1. Apr 15, 2010 #1
    A transverse travelling wave is described by

    y(x,t) = 0.6exp(2x-5t)cos(5t-2x)​

    for x and y measured in centimeters and t in seconds.
    Show that y(x,t) satisfies the one-dimensional wave equation.

    I think that I have to show that y(x,t)=f(x+/-vt) where f is a funtion of x and t. Am I correct in calling A=0.6exp(2x-5t) or is it A=cos(5t-2x), because the reversal of the x and t values in the second case is confusing me. Any pointers on where to begin.
     
  2. jcsd
  3. Apr 15, 2010 #2
    The one-dimensional wave equation is [tex] \frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2}\frac{\partial^2y}{\partial t^2} [/tex].

    See how you get on, knowing this.
     
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