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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, #33 · Differential Equations · First-order

The Law of Mass Action for … is

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

The Law of Mass Action for $A + B \to C$ is $y^{'} = k (a_{0} - y) (b_{0} - y)$ . Suppose $y_{0} = 0$ , $a_{0} = b_{0} = 3$ , $k = 1$ . Solve for $y$ and find the time when $y = 2$ .

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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, #33

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