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Help stuck on PDE problem

  1. Oct 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Use Fourier transforms to get solution in terms of f(t) adn g(t)


    2. Relevant equations
    d4u + K2*d2u =0
    dx4 (space) dt2

    u(0,t)=f(t)
    u'(0,t)=g(t)
    u''(L,t)=0
    u'''(L,t)=0

    3. The attempt at a solution
    I been working no it for hours the best I got is
    k4U +K* (d2U/dt2) =0
    I'm not sure where to go since i dont hve initial conditions

    Really need someone to show me how to do the question or a similiar one
     
    Last edited: Oct 1, 2009
  2. jcsd
  3. Oct 1, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, you do have initial conditions! They are u(x,0)= f(t) and u'(x,0)= g(t). (I assume the ' denotes differentiation with respect to t.)

     
  4. Oct 1, 2009 #3
    my fault, there aren't meant to be initial ocnidtion, just fixed the question
     
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