(a) The differential equation in is equivalent to the normal form dy dx B 1 y2 1 x2 in
Chapter 2, Problem 48(choose chapter or problem)
(a) The differential equation in is equivalent to the normal form dy dx B 1 y2 1 x2 in the square region in the xy-plane defined by x 1, y 1. But the quantity under the radical is nonnegative also in the regions defined 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.
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