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    To find the analytic function f(z) = u + iv when u is given.

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    Functions of a Complex Variables
    Analytic Functions

    If u = sin x . cosh y + 2cos x . sinh y + x2 - y2 + 4xy ,
    then prove that u is a harmonic function and find the analytic function f(z) = u + iv .

    See attached file for full problem description.

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    https://brainmass.com/math/complex-analysis/to-find-the-analytic-function-f-z-u-iv-when-u-is-given-27426

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    Solution Summary

    This solution is comprised of a detailed explanation for harmonic function and finding the analytic function f(z) = u + iv.
    It contains step-by-step explanation for the following problem:-

    If u = sin x . cosh y + 2cos x . sinh y + x2 - y2 + 4xy ,
    then prove that u is a harmonic function and find the analytic function f(z) = u + iv .
    Solution contains detailed step-by-step explanation.

    $2.19

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