(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that arctan(y/x) satisfies Laplace's equation.

2. Relevant equations

Laplace's equation:

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

3. The attempt at a solution

We haven't really done this is class too thoroughly, I've looked a http://www.wolframalpha.com/input/?i=second+derivative+of+arctan(y/x)" and it looks pretty messy, and I get the feeling I missing something. I have done partial derivatives, and we've done an exercise in class where we've transformed cartesian to polar co-ords, but I can't see the connection.

Thanks for any help.

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# Homework Help: Show arctan(y/x) satisfies Laplace's equation

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