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.

0.6 0.4 0.2 0 -0.2 -0.4 Nonlinear Linear -0.6 0 2 4 6 8 10