Here is the DE:
Δu(r,θ)=0, 1 ≤ r ≤ 2, 0 ≤ θ ≤ pi
and here are the Boundary Conditions:
u(1,θ)=sin(θ), u(2,θ)=0, u(r,0)=0, u(r,pi)=0
Based on the Boundary Conditions I believe this is half of an annulus.
Using the 2D Laplace equation for polar coordinates, find the solution u(r,θ).
I've...