# Harmonic Functions

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• May 26th 2009, 06:16 PM
Link88
Harmonic Functions
show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.
• May 26th 2009, 08:02 PM
ThePerfectHacker
Quote:

Originally Posted by Link88
show that the function f(x,y)= (x^3)(y)-(x)(y^3) is a harmonic function.

This is very easy if you use the definition of harmonic function. Just show $f_xx + f_yy = 0$.
You need to compute all those partial derivatives.