1. Not finding help here? Sign up for a free 30min 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!

D'Alemberts Solution

  1. Aug 27, 2011 #1
    1. The problem statement, all variables and given/known data

    Solve the wave equation for 0 [itex]\leq x < \infty[/itex] and t [itex]\geq[/itex] 0 where u(0,t) = 0 for t [itex]\geq[/itex] 0 and u(x,0) = [itex] xe^{-3x} [/itex] and [itex]u_t(x,0) = xe^x [/itex] for x [itex]\geq[/itex] 0

    2. Relevant equations



    3. The attempt at a solution


    u(x,t) = [itex]\frac{1}{2}(f(x-at)+f(x+at)) + \frac{1}{2a} \int g(s) ds[/itex]

    so i have f(x) and g(x) do i just fill these functions into the equations, not sure how to proceed...
     
  2. jcsd
  3. Aug 27, 2011 #2
    I believe that's exactly what you need to do, yeah :-)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook