Question: Solve the initial value problem x'(t) = Ax(t) for t2 0, with x(0) = (3,2). 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) = (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. 10 15 A = -5 - 10 Solve the initial value problem. x (1) =[ Classify the nature of the origin as an attractor, repeller, or saddle point. Choose the correct answer below. Attractor O Repeller O Saddle Point Choose the correct graph below that represents the direction(s) of greatest attraction and/or repulsion. O A. O B. O c. OD. Time Remaining: 01:50:04 Next

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