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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, #30 · Differential Equations · First-order

Graph the rate … as a function of … for … and…

This problem deals with mass action and the MM equation $y^{'} = - cy / (y + K)$ .

Graph the rate $R$ as a function of $y$ for $K = 1$ and $K = 10$ . (Take $c = 1$ .) As the Michaelis constant increases, the rate ______ . At what value of $y$ is $R = \frac{1}{2} c$ ?

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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, #30

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