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  3. consider the system; dx/dt=x(1-x/10)-1/2xy dy/dt

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,...

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Advance Math

  1. 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?

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