(a) Verify that cos 2xy is harmonic in an appropriate domain D.(b) Find a harmonic conjug...
(a) Verify that 
cos 2xy is harmonic in an appropriate domain D.
(b) Find a harmonic conjugate v and find an analytic function f(z) = u + iv satisfying f(0) = 1. [Hint: When integrating, think of reversing the product rule.]
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