2. A square plate with two units on an edge has three edges maintained at zero temperatures and the fourth edge at a temperature distribution f(x). The BVP is ux+y=0, 0<x<2, 0<y<2 u(0, y) u(2, y)=0, 0<y<2 u(x, 0)=0, u(x, 2) = f(x), 0<x<2 nπx 2. u(x, y) = B, sin ппу sinh n 2 2 n=1 1 where Bn sinh nπ fo² f(x) sin ·S². ппх dx. 2