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Differential EquationsMediumExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Medium problem

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