Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Wave Motion

  1. Mar 17, 2010 #1

    bon

    User Avatar

    1. The problem statement, all variables and given/known data

    Ok so hope someone will be able to help...

    I've used the D'Alembert method to solve the wave equation and have got that the general form should be

    y(x,t) = f(x+ct) + g(x-ct)

    Now im also told that the time dependence at x=0 is sinusoidal..

    that is, y(x,0) = sin(wt)...

    How can i deduce that the full x,t dependence is given by:

    y(x,t) = Asin(kx+wt) + Bsin(kx-wt)

    where k = w/c?

    Thank you

    2. Relevant equations



    3. The attempt at a solution

    Not sure where to go..

    It seems the conditions tell me that f(x) + g(x) = sinwt..cant see how that helps :S
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 17, 2010 #2

    bon

    User Avatar

    anyone :S?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook