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PDE problem

  1. Jan 8, 2009 #1
    1. The problem statement, all variables and given/known data

    which solutions of du/dt+du/dx=0 is equal to xe-x2
    2. Relevant equations



    3. The attempt at a solution

    u(x,0) = xe-x2
    u(x,t)= (x-t)e(-x-t)2

    what else do i need to do?
     
  2. jcsd
  3. Jan 8, 2009 #2
    One way of solving a pde like that is to always try seperation of variables , so that you assume[tex]u(x,t)=X(x)T(t)[/tex]where X is just a function of x and T just a function of t, plug this into your pde and see what u get!!!
     
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