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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 :-)
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