Question: Solve the initial value problem x'(t) = Ax(t) for t2 0, with x(0) = (1,5). Classify the nature of the origin as an attractor, repeller,

Solve the initial value problem x'(t) = Ax(t) for t2 0, with x(0) = (1,5). 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. 17 =2 A= |: 5 10:| Solve the initial value problem. x(t)=

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