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Solve an IVP

  1. Sep 21, 2009 #1
    I had to solve an IVP:
    [tex]\partial[/tex]/[tex]u\partial[/tex]t + 4[tex]\partial[/tex]u/[tex]\partial[/tex]x = e2x, u(x,0) = f(x).
    I got an answer of u = 1/2 +f(x-4t).
    Is this correct and if not, where did I go wrong.
  2. jcsd
  3. Sep 22, 2009 #2


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    Re: Ivp

    Hard to tell where you went wrong without seeing your work. But it isn't correct for at least two reasons:

    1. It doesn't satisfy u(x,0) = f(x) (although it would without the 1/2).
    2. If you plug it into the DE you get 0, not e(2x).
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