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Solving PDE

  1. Sep 26, 2013 #1
    1. The problem statement, all variables and given/known data

    If utt - uxx= 1-x for 0<x<1, t>0
    u(x,0) = x2(1-x) for 0≤x≤1
    ut(x,)=0 for 0≤x≤1
    ux(x,)=0
    u(1,t)=0

    find u(1/4,2)

    2. Relevant equations



    3. The attempt at a solution
    I was thinking to make a judicious change of variables that not only converts the PDE to a homogenous PDE, but also makes the boundary conditions homogenous.
    I am quite unsure how to even start this problem...
     
  2. jcsd
  3. Sep 27, 2013 #2
    Consider that the solution has the form: u(x,t)=v(x,t)+w(x). Can you find the boundary and initial conditions to make this problem simpler?
     
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