(a) The differential equation in Problem 27 is equivalent to the normal form...

(a) The differential equation in Problem 27 is equivalent to the normal form

in the square region in the xy-plane defined by But the quantity under the radical is nonnegative also in the regions defined by Sketch all regions in the xy-plane for which this differential equation possesses real solutions.

(b) Solve the DE in part (a) in the regions defined by Then find an implicit and an explicit solution of the differential equation subject to y(2) = 2.