In Exercises 3–6, solve the initial value problem x’ (t) =
Chapter 5, Problem 3E(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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