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Biocalculus Calculus for the Life Sciences
Logistic growth A population is modeled by the differential equation
$$\frac{d N}{d t}=1.2 N\left(1-\frac{N}{4200}\right)$$
where $N(t)$ is the number of individuals at time $t$ (measured in days).
(a) For what values of $N$ is the population increasing?
(b) For what values of $N$ is the population decreasing?
(c) What are the equilibrium solutions?