### Question Description

logistic equations class differential equations

## Explanation & Answer

Thank you for the opportunity to help you with your question!

As we saw in class, one possible model for the growth of a population is the logistic equation:

Here the number is the initial density of the population, is the intrinsic growth rate of the population (for given, finite initial resources available) and is the carrying capacity, or maximum potential population density. This equation is an Ordinary Differential Equation (ODE) because it is an equation which involves ordinary derivatives.

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