Milne's Thomson Method I Determine f(z)= u+iv when u-v is given

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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.
How to find: u when v is given or v when u is given for any Complex Function • Milne Thomson Method How to find: u when v is given or v when u is given for any Complex Function • Milne Thomson Method