Re: General Solution of Laplace Equation Uxx + Uyy = 0
Originally Posted by julihasanaj
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.