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## Homework Statement

A population increases exponentially in its stages, but cannot continue forever. C = carrying capacity.

Model rate of population change by dP/dt = kP(1-P/C) for P=population size

## Homework Equations

1] a population is model dP/dt = 1.2P(1-P/4200)

2] For what value of P is the population increasing and decreasing.

3] What are the equilibrium solutions? what do equilibrium solutions mean for the population.

## The Attempt at a Solution

I don't know how to approach this, I try solving the differential EQ but can't.

i tried the phase line test, it tells me that it increases when 0<P<4200?