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Differential EquationsChallengeExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Challenge problem

For y′=h+ry−y3y' = h + ry - y^3 with h=2h = 2 fixed, the equation has one equilibrium for small rr and three for large rr. Find the value of rr at which the number of equilibria changes.