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)...

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 the system in each region on the picture.

(d) If you were given initial conditions x = 3 and y = 4, what do you think would happen to the solution?

Expert Solution

Similarly find corresponding eigen values for other two equilibrium points in same procedure

Colby Messinger answered 9 months ago

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Evaluate or solve the following A) dy/dx= -(2x2+y2)/(2xy+3y2) B)dy/dx=(1+y2)/(1+x2)xy C) (x2+1)dy/dx+2xy=4x2 given that when x=3,y=4 Already rated.Best chegg expert

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