1. The problem statement, all variables and given/known data Find v such that f(z) = u+iv is analytic. 2. Relevant equations du/dx = dv/dy and dv/dx=-du/dy 3. The attempt at a solution I'm not sure what I'm supposed to do. I think I need to find U in order to find V because if a function is analytic it satisfies the Cauchy Riemann equations. I tried to play around with cauchy riemann equations to get dv in terms of everything else but that's not helping. Can I also use the Laplace equation to solve this? This is so general that I know it's probably simple, but at the same time it makes it hard to understand what my answer is supposed to look like. What should my approach be?