1. The problem statement, all variables and given/known data I have shown that u(x,y) = e-xsin(y) is harmonic. That is uxx+ uyy = 0. How do I find a harmonic function v(x,y) such that u + iv is analytic on C. 2. Relevant equations 3. The attempt at a solution I tried to find v(x,y) in the same fashion as you find a scalar potential, given a gradient but that was no go. Would I find the Cauchy-Riemann equations & go from there?