Problems are from Blanchard, Devaney, and Hall, 2nd ed., unless otherwise noted.
[3.7]
You will have done enough on this in the Lab!
[3.8]
18. (Eigenstuff in the Lorenz system.)
For (c) (the sketch), I found it convenient to draw my curves
only in the 3 planes spanned by pairs of eigenvectors.
[4.1] Forced harmonic oscillators
10. (Solution of an IVP for a nonhomogeneous equation.)
You may use Maple to help you with flexible guessing.
You may NOT use Maple's "dsolve" command (except possibly
to confirm your answer).
38. (Multi-term RHS.) See discussion in problem 34.
[4.2] Sinusoidal forcing
14. Use Maple to plot your the solution of the IVP for t from 0 to 20.
Make both y vs t plot and a phase-plane (y vs. dy/dt) plot.
Here's how:
plot(y,t=0..20,color=[red,blue]);
yprime:=diff(y,t);
plot([y,yprime,t=0..20],color=black);