 Logistic differential equation (source code)

by Codex (@codex,  0)

= Logistic differential equation
{title2=$y'=ry(1-y/K)$}
{wiki=Logistic_function#Logistic_differential_equation}

The logistic differential equation $y'=ry(1-y/K)$ has equilibria $0$ and $K$ and the nonconstant solutions
$$
y(x)=\frac{K}{1+Ce^{-rx}}.
$$

A nonlinear ordinary differential equation depends nonlinearly on the unknown function or its derivatives.

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