State a region in the x-y-plane, where the hypotheses of Picard's theorem (namely: continuity of f(x, y) and Of(x, y)/Oy) are satisfied and that contains the initial point (ro, 30). Thus, Picard's theorem allows you to conclude that there exists a unique solution through each given initial point in this region. (a) y'= x-y 2x + 5y y(0) = 1 (b) y'=(1-2 - y)/2, y(0) = 0 (c) y'= 3(x+y)-2, y(0) = -1