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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, #21 · Differential Equations · First-order

Draw an S-curve through … with horizontal asymptotes … and

Draw an S-curve through $(0, 0)$ with horizontal asymptotes $y = - 1$ and $y = 1$ . Show that $y = (e^{t} - e^{- t}) / (e^{t} + e^{- t})$ has those three properties. The graph of $y^{2}$ is shaped like $______$ .

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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, #21

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