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Homework Help: Harmonic function

  1. May 12, 2010 #1
    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?
  2. jcsd
  3. May 12, 2010 #2
    Never mind. Got it.
    It was v(x,y) = e-xcos(y) + K
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