In Problem, (a) use (1) to verify that the given function u is harmonic in a domain D not...

In Problem, (a) use (1) to verify that the given function u is harmonic in a domain D not containing the origin, (b) use equation (2) to find v, a harmonic conjugate of u, and (c) form the corresponding analytic function f(z) = u + iv.

 (1)

 (2)