Consider the system;
dx/dt=x(1-x/10)-1/2xy
dy/dt=2y(1-y/6)-xy
(a) Find all equilibrium solutions.
(b) Draw the phase plane.
(c) On the phase plane, mark
• all equilibrium solutions.
• the lines where dx/dt =0, dy/dt =0
• an arrow indicating the general direction of the flow of thesystem in each region on the picture.
(d) If you were given initial conditions x = 3 and y = 4, whatdo you think would happen to the solution?
