Chapter 3.6, Problem 18P

For each of the systems in Problem $13$ through $20$:

a) Find all of the critical points.

b) Use a computer, to draw a direction field and phase portrait for the system.

c) From the plots in part (b), describe how the trajectories behave in the vicinity of each critical point.

$\frac{dx}{dt}=\left(2+x\right)\left(y-x\right),\frac{dy}{dt}=y\left(2+x-x^2\right)$