The Laplace's equations in 2-dimensions if V is the electric potential is given by:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{\partial^2 V}{\partial x^2} + \frac{\partial^2 V}{\partial y^2} = 0[/tex]

Since this is a second order partial differential equation, the simple rules of an ordinary differential do not apply. The solution will not contain a definite number of arbitrary constants. So how is a general solution obtained for this equation?

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# Solution to Laplaces equation

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