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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §6.5 Separable Equations Including the Logistic Equation, #13 · Differential Equations · First-order

Show that … solves the equation

Show that $y = 1/ (1 + e^{- t})$ solves the equation $y^{'} = y - y^{2}$ . Draw the graph of $y$ from starting values $\frac{1}{2}$ and $\frac{1}{3}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §6.5 Separable Equations Including the Logistic Equation, #13

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