[DTube] The Logistic Differential Equation for Population Growth: General Solution

In this video, we work through the process for deriving the analytical solution to the Logistic Equation formulated by Verhulst for modelling population growth.

We first compare the natural (exponential) and logistic models and their formulas.

The logistic equation is given by:

dP/dt = rP [1 - K/P]

This is a separable differential equation with which we can separate the variables and solve by integration.

First Order Differential Equation Videos

1. Modelling the Decay of Nuclear Medicine with dy/dx = -ky
2. Newton's Law of Cooling
3. The Logistic Differential Equation for Population Growth: General Solution

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