Question: (a) Draw a vector field. (b) Draw sample solution curves. (c) Determine the equilibrium points. (d) Determine the stability behavior of the equilibrium points. (e)

(a) Draw a vector field.
(b) Draw sample solution curves.
(c) Determine the equilibrium points.
(d) Determine the stability behavior of the equilibrium points.
(e) Discuss the long-term behavior of the system.
(f) Identify any periodic solutions and state whether they are limit cycles.
X' = x(x - y)
Y' = y = (1 - y)

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