The differential equation depends on the parameter

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

The differential equation y′=y(y−k)(2−k−y)y' = y(y - k)(2 - k - y) depends on the parameter kk, where 0<k<20 < k < 2. For which values of kk is the equilibrium solution y=ky = k stable?

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