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# Complex equation simplifiaction help watch

1. I'm given that and is differentiable everywhere on the complex plane.

Given that and , I'm supposed to find .

I found using the Cauchy Riemann equations.

So

Which is really annoying to simplify!

I've gotten to the point where

and now I'm stuck.
2. (Original post by wanderlust.xx)
I've gotten to the point where

and now I'm stuck.
What about using etc. as a basis for building the trailing parts of that formula.
3. You have the wrong eqn for v1(x,y)

When using the Cauchy-Riemann eqns, you will be doing partial integration which means you should have a function of integration rather than a constant of integration to include in your eqn for v1(x,y).

It then becomes simple to simplify!

BTW, are you sure that f1(1) = 2 and not f1(1) = 2+i, ?

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