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A PDE I can't solve by seperation of variables

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations
    After simplification, the PDE is

    (b^2/a^2)(d^2 v/ d x^2) + (d^2 v/ d y^2) = -1

    3. The attempt at a solution
    Obviously, it can't be solved by seperation of variables. And I also failed in similarity solution.
  2. jcsd
  3. Mar 25, 2009 #2
    Are a and b constants? If so, you need to change the x-scale: x = x' * b/a and get the standard Poisson's equation.
  4. Mar 25, 2009 #3
    Yes, they are.
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