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Differential EquationsEasyExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Easy problem

The family y′=(r−2)y−y2y' = (r - 2)y - y^2 has the equilibria y=0y = 0 and y=r−2y = r - 2. At what value of rr does it undergo a transcritical bifurcation?