Determine the analytic function f(z) if u-v = x²+4xy+y² is given. MILNE THOMSON'S METHOD

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Milne -Thomson : f(z)=u+iv is an Analytic function & u-v=eˣ{cos(y)-sin(y)} , find f(z) in term of z. Milne -Thomson : f(z)=u+iv is an Analytic function & u-v=eˣ{cos(y)-sin(y)} , find f(z) in term of z.
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