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I want to find an analytic funktion if Re(z) = 1 - x - 2xy

My initial thought was to set U(x,y) = 1 - x - 2xy and then solve for V(x,y) through

du/dx = dv/dy but it doesnt seem to go as far as im concernd.

Then I thought about the fact that Re(z) = (z + zbar)/2 and then work from there but I cant figure out how.

My book says: 1 - z + iz^2 + iC, CeR

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# Homework Help: Complex analysis

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