Get solution: For each of the systems in 1 through 10: a. Find the eigenvalues and

QUESTION:

For each of the systems in 1 through 10: 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 x1 versus t and x2 versus t. _1 1 2 1 _ + _15 _ 1