Consider the boundary value problem Uxx + Uyy = 0 for all 0

Consider the boundary value problem 0 for all 0 < x < a and 0 < y < b uxx + uyy u(x,0) f (x) and u(x, b) g(x) for all 0 < x < a u(0,y) 0 and u(a,y) 0 for all 0 < y < b Explain how you to solve this problem by splitting it into two sub-problems, each of which has homogeneous boundary conditions on three sides of the rectangle 10, al x 10, bl.