Solved: Find a general solution and any singular solutions

Chapter , Problem 32

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Find a general solution and any singular solutions of the differential equation dy=dx D y py2 1. Determine the points .a; b/ in the plane for which the initial value problem y0 D y py2 1, y.a/ D b has (a) no solution, (b) a unique solution, (c) infinitely many solutions.

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