By taking the partial derivitives and second partialy derivative with respect to x and y I have found that b=-3d and c=-3a but I don't understand the last bit of the question or how to do it.
$u(x,y) = ax^3 + bx^2y + cxy^2 + dy^3$ is harmonic for some values of a,b,c and d . Find an analytic function f(z) with u as its real part.
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complex-analysis
analysis
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0@jim How did you work that out? – 2012-11-26
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0$f(z)=(a+id)z^3 +i*c$ where c is a constant – 2012-11-26