Problems are from Blanchard, Devaney, and Hall, 2nd ed., unless otherwise noted.
[5.1]
6. (Linearization of competing species model at the 3 equilibria
we didn't do in class Mon 10/22.)
You may, if you wish, use Maple to compute the eigenstuff:
with(linalg):
A:=[[1,2],
[3,4]];
eigenvals(A);
eigenvects(A);
[5.2] (We've done this section earlier.)
[5.3] X. Show that the function H given in the answer to
Problem 5.3.15 is in fact a conserved quantity
along the solutions of the (first) system given
in that problem.