Homework 7

15 problems due Monday, March 30th, 4pm, in box in Math Department Main Office, 244 Mathematics Building.

5.2: 3, 6, 9, 11 (Draw* phase planes only for the systems in #3 and #9. Phase planes for #6 and #11 are illustrated in solutions in back of textbook, so you don't have to copy them down, but do take a look!).

5.2 (continued): 21, 25, 26, 38, 41

5.4: 3, 4 (Draw* phase planes for the systems in #3 and #4)

5.4 (continued): 8, 19, 20, 33

Note on 5.4.19: the answer in the back of the book is correct but the stated count of the "defect" is not correct (there is no defect).

*To draw the phase planes, you may use Maple (or any other computational tool you prefer) and either print or sketch the result, or you may approximate trajectories on the phase plane by hand (by analyzing the behavior of the solutions, for example by plotting direction vectors and/or identifying straight-line trajectories or spiraling-in/spiraling-out/orbitting behavior). Your drawing need not be as detailed and precise as for the Maple lab; it should just give an idea of what typical solution curves (x(t),y(t)) look like.