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Partial Differential Equations

  1. Jan 30, 2012 #1
    1. The problem statement, all variables and given/known data

    with the conditions:

    2. Relevant equations

    Not using separation of variables to solve.

    3. The attempt at a solution

    I've gotten the general equation to be of the form:

    but solving for the initial conditions is giving me a problem:

    ψ(x+1,y-1)= sin(x)+ey-ζ(x-1,y+1)



    subbing that into the Ut and simplifying gives me this:

    2 ζ 1 +2 sin(X) = 2ζ2-ey +y2

    which I'm not sure what to do with...

    help greatly apreciated
  2. jcsd
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