Obtain the differential equations for the linear system 1. Classify all the equilibrium points of the system Draw the isoclines X (x,y) = 0 and Y (x,y)=0, and sketch the phase diagram for the...

Obtain the differential equations for the linear system

1. Classify all the equilibrium points of the system

Draw the isoclines X (x,y) = 0 and Y (x,y)=0, and sketch the phase diagram for the system. A phase path starts near (but not at) the origin. How does its path evolve ast increases? If, on this path, the system experiences small disturbances which cause it to jump to nearby neigh bouring paths, what willeventually happen to the system?