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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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24

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Complex variables

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24.1  Find an analytic function of z = x + iy whose imaginary part is

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If the required function is f(z) = u + iv, with v = (y cos y + x sin y) exp x, then, from the Cauchy–Riemann equations,

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Integrating with respect to y gives ...

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