In problem 4, Omega is defined as (0,1) X (0,1)

Let I be defined as in problem 4, and let f(x,y) = (x - x2)(y - y2). Give the solution to 1 Utty Au(x,y,t), (x,y) E ,t >0, 10 u(x, y) = 0, (x,y) e ant > 0, u(x, y,0) = f(x,y), (x,y) EN, Ut(x,y,0) = 0, (x,y) EN