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Differential EquationsEasyExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Easy problem

The equation y′=16−y2y' = 16 - y^2 has one stable equilibrium y∗y^*. Near it, a small deviation u=y−y∗u = y - y^* behaves like u(t)≈u(0)eλtu(t) \approx u(0)e^{\lambda t}. Find λ\lambda.