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Solve the initial value problem x t Ax t for t20 with x 0 5 2 Classify the nature of the origin as an attractor

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Solve the initial value problem x t Ax t for t20 with x 0 5 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 A 16 1 4 11

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