In Exercises 3–6, solve the initial value
Chapter 5, Problem 5E(choose chapter or problem)
In Exercises 3–6, solve the initial value problem x’(t) = Ax(t) for. Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described by x’ = Ax. Find the directions of greatest attraction and/or repulsion. When the origin is a saddle point, sketch typical trajectories.
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