This preview has intentionally blurred sections. Sign up to view the full version.
Unformatted text preview: all solutions of each system. Also, graph the phase portraits ( x-y graph) using ODE Architect. Please use a scale which includes the point (0 , 0), and graph several solutions in order to clearly observe the behavior around (0 , 0). Also, place arrows on the solution curves which indicate the direction of increasing t , and make sure that solution curves along the eigenvector directions are graphed if there are any real eigenvectors. (a) dx dt = 2 x-y dy dt = 3 x + 3 y (b) dx dt =-x + y dy dt = 3 x-4 y (c) dx dt = 2 x + 3 y dy dt = 5 x + 5 y (d) dx dt =-4 x + 3 y dy dt =-3 x + 2 y (e) dx dt =-x-3 y dy dt = 2 x + y...
View Full Document