Solve Laplace’s equation outside a circular disk (r ≥ a) subject to the boundary conditi...

Solve Laplace’s equation outside a circular disk (r ≥ a) subject to the boundary condition [Hint: In polar coordinates,

(a) u(a, θ) = ln 2 + 4cos3θ

(b) u(a, θ) = f(θ)

You may assume that u(r, θ) remains finite as r→∞.