Consider the following ODE system: { x˙ =x(6−2x−y)
y˙​ =y(4−x−y)
(a) Find equilibrium points of the system.
(b) Find the linearization of the system around each equilibrium point.
(c) Perform the local stability analysis around each equilibrium point.
(d) Plot the solutions of both, the linear and nonlinear systems.