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Thread: General Solution of Laplace Equation Uxx + Uyy = 0

  1. #1
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    Unhappy General Solution of Laplace Equation Uxx + Uyy = 0

    This is my problem Uxx + Uyy = 0 and i want the general solution of it.

    Please if someone can help me ?????
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  2. #2
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    Re: General Solution of Laplace Equation Uxx + Uyy = 0

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    Re: General Solution of Laplace Equation Uxx + Uyy = 0

    but i don't understad why i will use "separation" constant k^2 and not only k?

    And if possible is any general solution without solving with the method of separation variables???
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    Re: General Solution of Laplace Equation Uxx + Uyy = 0

    Quote Originally Posted by julihasanaj View Post
    but i don't understad why i will use "separation" constant k^2 and not only k?

    And if possible is any general solution without solving with the method of separation variables???
    you use $k^2$ as a separation constant so that the solutions involve a factor of $k$ and not $\sqrt{k}$.

    My quick browse of google showed everyone assuming the solutions are either separable in $x$ and $y$ or they solved the LE in non-Cartesian coordinates.
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    Re: General Solution of Laplace Equation Uxx + Uyy = 0

    ok i will try with k^2 . Thank you for your reply
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