Consider the system of equations kl = 3~x1 -Sex2 + X: x2 = 2~x1 - EX2. (*> (a) Show that

Chapter 4, Problem 9

(choose chapter or problem)

Consider the system of equations kl = 3~x1 -Sex2 + X: x2 = 2~x1 - EX2. (*> (a) Show that each point on the Lines x2 = x, and x2 = - x, are equilibrium points of ( * ) for E = 0. (b) Show that are the only equilibrium points of (*) for E # 0.

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