Question 1. [4,6] a) Determine the largest region for which the following IVP admits a unique solution √y = cos(x+y), y0, y(1)=1 b) Solve the differential equations sin x [cos x In (2y = 8) + 1]dz + [x cos dx 3-4 (2/2) - y)dx + xdy = 0, x >0. dy = 0, y>4, 0.