Solve the general logistic problem, [begin{equation*} frac{d y}{d t}=k y-c y^{2}, quad y(0)=y_{0} tag{4.86} end{equation*}] using separation

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Solve the general logistic problem,

\[\begin{equation*} \frac{d y}{d t}=k y-c y^{2}, \quad y(0)=y_{0} \tag{4.86} \end{equation*}\]

using separation of variables.

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