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Differential EquationsChallengeExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Challenge problem

For y′=ry+y2−y3y' = ry + y^2 - y^3, the set of r<0r < 0 for which y=0y = 0 is stable AND there is also a stable positive equilibrium is an open interval. Find its length.