Solution: For each of the systems in 1 through 12: (a) Find the eigenvalues and
Chapter 9, Problem 12(choose chapter or problem)
For each of the systems in 1 through 12: (a) Find the eigenvalues and eigenvectors. (b) Classify the critical point(0, 0) as to type and determine whether it is stable, asymptotically stable, or unstable. (c) Sketch several trajectories in the phase plane and also sketch some typical graphs of x1 versus t. (d) Use a computer to plot accurately the curves requested in part (c).dxdt =2 5295 1x
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