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
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?