Solve the initial value problem x'(t) = Ax(t) for t 0, with x(0) = (3,2). Classify
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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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13 3 3 1 For 4 31010 For 6 det 41210 24 24260 Eigenvalues 4 and 6 1 3 x1 1 3 0 1 Vx0 1 13 0 0 0 For ...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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