Question: 1. Consider the function u = e* cosy. Using C-R equations find its conjugate harmonic 'v' and write the corresponding analytic function 'f (z)'.

1. Consider the function u = e* cosy. Using C-R equations find

1. Consider the function u = e* cosy. Using C-R equations find its conjugate harmonic 'v' and write the corresponding analytic function 'f (z)'. Using f(z), show that the family of level curves u = c and v= c intersect orthogonally.

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