For an analytic function f(z) = u(x, y) + iv(x, y). Given the real part, find...

   

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For an analytic function f(z) = u(x, y) + iv(x, y). Given the real part, find the imaginary part v(x, y). (1) u = e*sin (y) (2) u = e* (x cos y - y sin y), f(0) = 0 3xy², f(0) = 0 (3) u = x³ For an analytic function f(z) = u(x, y) + iv(x, y). Given the real part, find the imaginary part v(x, y). (1) u = e*sin (y) (2) u = e* (x cos y - y sin y), f(0) = 0 3xy², f(0) = 0 (3) u = x³

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