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How do you solve this PDE?

  1. Jan 22, 2012 #1
    (∂^2)(z) / (∂x)(∂y) = (x^2)(y)

    how do find the general solution of this equation?

    and how do i find a particular solution for which

    z(x,0) = x^2
    z(1,y) = cosy

    I have no idea!
     
    Last edited: Jan 22, 2012
  2. jcsd
  3. Jan 22, 2012 #2

    I like Serena

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    Homework Helper

    Welcome to PF, ArainGrass! :smile:

    Integrate with respect to x and add an integration constant which is a function of y.
    Integrate again with respect to y and add another integration constant which is a function of x.
    Finally, find out what your integration-constant-functions are using your boundary conditions.
     
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