Problems are from Blanchard, Devaney, and Hall, 2nd ed., unless otherwise noted.
[1.4] A numerical technique: Euler's method
1. Do it by hand.
6. Use Maple. (You may find this a bit of a challenge until after Lab 3.)
11. Comparison of Euler (on 6) with qualitative analysis.
[1.6] Phase line for autonomous DEs
X. Problem on rhino sparsity. (Handout in class Thursday 9/12.)
[1.7] Bifurcation
3. But change the - to a +.
(Location of bifurcation values and sketches of phase lines.)
Sketch a full bifurcation diagram too.
[1.8] Linear DEs
2. (General solution.)
14. (Solution of IVP.)
16. (General solution with as many integrals done as possible.)
Note: if you don't have a table of integrals handy, Maple
might be helpful: syntax for indefinite integral is "int( x^2, x );".