1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook