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Thread: Solving infinite wave eq using Fourier Transforms

  1. March 22nd 2009, 03:26 PM #1
    flaming
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    Solving infinite wave eq using Fourier Transforms

    Solve the infinte wave equation
    \mu_{tt} = c^2\mu_{xx}
    \mu(x,0) = f(x)
    \mu_t(0,t) = g(x)

    using Fourier Transforms and show the solution reduces to the D'Alembert Solution.
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  2. March 23rd 2009, 07:35 AM #2
    HallsofIvy
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    Do what is suggested- write u as a Fourier transform, u(x,t)= \frac{1}{2\pi}\int_{-\infty}^\infty A(t,s)e^{isx}dx. Put that into the partial differential equation and derive an ordinary differential equation for A(s,t) in t with s as a parameter.
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