In Exercises 3–6, solve the initial value

Chapter 5, Problem 6E

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Problem 6E

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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