Question: I am having trouble with these two complex analysis questions. It will be great if it is solved step by step! Consider the function u(m,

I am having trouble with these two complex analysis questions. It will be great if it is solved step by step!

I am having trouble with these two complexI am having trouble with these two complex
Consider the function u(m, y) = 6 3:23; l 2 y3 + 3 y. 1) Compute and write the expression of _ = -12 y o and = 12 y 0 - 3:132 a E 33,2 I IE 2) Next, compute l = 0 o 39:2 63,2 n 3) The function u is harmonic. Compute an harmonic conjugate v and enter the expression in the box below. 4) Consider now the analytic function f (ac l iy) = u (m, y) + it) (9:, y) and write f as a function of 2: alone (here a: + 723; = z). Express sinh(1 - 32) in the form a + ib. Hence enter the exact values of a and b in the boxes below a b =

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