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Homework Help: How do i know what a function describe a wave?

  1. Jan 30, 2016 #1
    1. The problem statement, all variables and given/known data
    Show that the funtions y(x,t) and g(x,t) satisfy the differential equation of a wave unimensional. What function is a wave?

    2. Relevant equations
    y(x,t)=x² +v²t² ; d(x,t)= 2Acos(kx)cos(wt)


    3. The attempt at a solution



    frac{d²g}{dt²}= -2Aw²cos(kx)cos(wt)
    frac{d²g}{dx²}= -2Ak²cos(kx)cos(wt)

    Comparing the two functions with the wave equations with y(x,t) and g(x,t) satisfy the equation differential of wave, if all is correct, can i say that the functions are waves. ?
    Last edited: Jan 30, 2016
  2. jcsd
  3. Jan 31, 2016 #2


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  4. Jan 31, 2016 #3
    A constant wave can be written as a function of x-vt.
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