[DTube] Modelling Population Growth with the Logistic Model: IVP

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In this video, we use our knowledge of the logistic model for population growth to write a formula for the growth of the population of a certain species.

This is an initial value problem.

Suppose that a population grows has a carrying capacity of K = 6000 and a growth rate of r = 0.0015 per year, if the initial population is 1000, we use this information to write a formula for the population after t years.

We use this formula to find the population after 50 years.

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
4. Modelling Population Growth with the Logistic Model: IVP

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