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Finding an Analyitic Function given Re(z)

  1. Jan 28, 2010 #1
    1. The problem statement, all variables and given/known data

    Find a function f(z) that is analytic in a suitable part of the Argand diagram for which

    Re(z) = sin(2x)/[cosh(2y)-cos(2x)]

    3. The attempt at a solution

    I've taken the derivative with respect to both x and y and am attempting to integrate them to find an imaginary part of the equation that will satisfy the Cauchy-Reimann relation (du/dx = dv/dy; du/dy = -dv/dx where u is Re(z) and v is Im(z)), but I et to an integral I am not sure how to solve. My work is attached in a scanned document.

    Thanks for helping!

    Attached Files:

  2. jcsd
  3. Jan 28, 2010 #2


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    Homework Helper

    Your expression for du/dy would be a lot easier to integrate dx if it were correct. Can you fix it?
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