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

Dy/dx = √(1 - y²) / (1 - x²) 

in the square region in the xy-plane de­ned by |x| < 1 < |y| , 1. But the quantity under the radical is nonnegative also in the regions de­ned by |x| > 1 > |y| . 1. 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 |x| > 1, |y| > 1. Then ­find an implicit and an explicit solution of the differential equation subject to y(2) = 2.