Consider the following growth model:
dN/dt=aN+bN^2 with a>0 and b>0
a. How does the growth rate depend on N?
b. What would you expect happens to the population?
c. By usong the phase line, show that the population tends toward infinity.
d. By considering the exact solution, show that the population reaches infinity ina finite time, what might be called a population explosion.