(Laplace's Equation Outside a Circle) • Find the solution u(r, 0) to Laplace's equation 1 Urr +-Up + 1 – ՂԱԲՈ = 0 r 12 outside the circle r = a, also satisfying the boundary condition u(a, 0) = f(0), 0<<2π, on the circle. Assume that u(r, 0) is single valued and bounded for r > a. (Hint: you should pick solutions that are bounded as r→ ∞).