1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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)

    frac{d²y}{dt²}=2v²

    frac{d²y}{dx²}=2
    3. The attempt at a solution

    frac{d²y}{dt²}=2v²

    frac{d²y}{dx²}=2

    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

    blue_leaf77

    User Avatar
    Science Advisor
    Homework Helper

    Yes.
     
  4. Jan 31, 2016 #3
    A constant wave can be written as a function of x-vt.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted