Predicting System Behavior Consider the systems in Problem.
(a) Determine and plot the equilibrium points and nullclines for the systems.
(b) Show the direction of the vector field between the null- clines, as illustrated in Example 2 and Fig. 4.
(c) Sketch some solution curves starting near, but not on, the equilibrium point(s).
(d) Label each, equilibrium as stable or unstable depending on the behavior of solutions that start nearby, and describe the long-term behavior of all the solutions.
dx/dt = 4 − x − y
dy/dt = 3 – x2 – y2
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