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Solve the initial value problem

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Question: Solve the initial value problem x' (t) = Ax (t) for t ≥ 0, with x (0) = (3, 2). 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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Reference no: EM131555610

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