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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, by hand (without using any graphing device), several trajectories in the phase plane. G d. Use an appropriate graphing device to plot accurately several trajectories in the phase plane and the corresponding graphs of x, versus t and x, versus t. 2. (1} -?) 7 1 1-5 2 -1 Answer 9. a. r1, 12 = +3i; $(1), 5(2) = (2, -1 3i)? b. center, stable 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, by hand (without using any graphing device), several trajectories in the phase plane. G d. Use an appropriate graphing device to plot accurately several trajectories in the phase plane and the corresponding graphs of x, versus t and x, versus t. 2. (1} -?) 7 1 1-5 2 -1 Answer 9. a. r1, 12 = +3i; $(1), 5(2) = (2, -1 3i)? b. center, stable