d. Let u(x, y) = e* cos y + xy. i. Show that u(x, y) is harmonic. ii. Find an analytic function g(z) such that Re(g(x+iy
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d. Let u(x, y) = e* cos y + xy. i. Show that u(x, y) is harmonic. ii. Find an analytic function g(z) such that Re(g(x+iy
d. Let u(x, y) = e* cos y + xy. i. Show that u(x, y) is harmonic. ii. Find an analytic function g(z) such that Re(g(x+iy)) = u(x, y).
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