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Differential EquationsMediumExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Medium problem

Let y(t)y(t) solve y′=4y−y3y' = 4y - y^3 with y(0)=−12y(0) = -\dfrac{1}{2}. Find lim⁡t→∞y(t)\displaystyle\lim_{t\to\infty} y(t).