(a) The differential equation in is equivalent to the

Chapter 2, Problem 2.1.98

(choose chapter or problem)

(a) The differential equation in is equivalent to the normal form in the square region in the xy-plane defined by x1, y1. But the quantity under the radical is nonnegative also in the regions defined by x1, y1. 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 x1, y1. Then find an implicit and an explicit solution of the differential equation subject to y(2) 2. Mathematica

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