Toronto Math Forum
MAT2442018F => MAT244Lectures & Home Assignments => Topic started by: Qingyang Wei on December 06, 2018, 01:44:44 PM

The only method of drawing phase portrait that I am aware of is to evaluate each particular solutions of the system at a large amount of points, and "connect the dots" to produce a trajectory for the solution. But that seems to be very time consuming. Is there any more efficient way to draw this by hand?

Try finding the eigenvectors as well as the eigenvalues as the eigenvectors can tell you the direction of the trajectories

You can divided into different situations, like 2 distinct real roots, 2 same real roots and nonreal roots. and fine the corresponding eigenvector, and first draw these eigenvectors

I got the same question. And sometimes I just couldn't connect all the lines together however hard I try.