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Complex Conjugate Question

  1. Sep 9, 2014 #1
    1. The problem statement, all variables and given/known data

    Find U(x,y) and V(x,y) for f(z) = -(1-z)/(1+z)

    Find Ux, Vy, Vx, Uy (partial derivatives)

    2. Relevant equations

    z = (x+iy)

    3. The attempt at a solution

    I found U(x,y) and V(x,y), and I used the quotient rule to find the partial derivatives Ux, Vy.

    They should be equal given the C-R relation, but they are off by a factor of x in Vx. I am attaching my work, I have checked the algebra and am not seeing an error, maybe someone else has insight into my problem? Should I be using polar form to figure this out?

    I've been killing myself on this one today, any help is appreciated.
     

    Attached Files:

  2. jcsd
  3. Sep 9, 2014 #2

    Ray Vickson

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    Glad to look at it if it is typed out; otherwise, not.
     
  4. Sep 9, 2014 #3
    Hi Ray, what is it that needs to be typed out? All my algebra? The solution?
     
  5. Sep 9, 2014 #4

    Ray Vickson

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    The details of your work.
     
  6. Sep 11, 2014 #5
    Hi Ray, it was an algebra error. It seems most of my errors in my course homework are small algebraic errors that amount to big problems. I should work on my organization I guess. The concepts behind these topics I often understand, but when I make these errors it makes it hard to attack the real problem, getting bogged down with algebra. Thanks for responding, I'm sure I'll be posting again, and I will do my best to type out the details of my work.
     
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