u(x, y) = x2 y? 2xy 2x + 3y For the following function...

Transcribed Image Text:

u(x, y) = x2 – y? – 2xy – 2x + 3y For the following function a) Determine whether the function is harmonic. b) If it is harmonic, find its harmonic conjugate function. c) Form an analytic function f(z) = u(x,y) + iv(x,y) from the harmonic function and its harmonic conjugate. u(x, y) = x2 – y? – 2xy – 2x + 3y For the following function a) Determine whether the function is harmonic. b) If it is harmonic, find its harmonic conjugate function. c) Form an analytic function f(z) = u(x,y) + iv(x,y) from the harmonic function and its harmonic conjugate.