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!

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:
    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Wave equation
  1. Wave Equation (Replies: 5)

  2. Wave equation (Replies: 1)

  3. Wave equation (Replies: 3)