Variable Separation in Logistic Equation

Rarely Tested

Variable Separation in Logistic Equation

For:

$$\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)$$

we obtain:

$$\frac{dN}{N(K-N)}=\frac{r}{K}\,dt$$

Usage

- Used to solve the logistic equation by separation of variables.

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