306X Homework, Fall 2002

306X Homework #8 due beginning of class, Tuesday, November 5th, 2002.

Problems are from Blanchard, Devaney, and Hall, 2nd ed., unless otherwise noted.

[4.3] Undamped forcing and resonance

12.	Work it by hand.
        Use Maple to plot your the solution of the IVP for t from 0 to 40.
        Make both y vs t plot and a phase-plane (y vs. dy/dt) plot.

16.	(Beats.) Use Maple to make a plot of y vs. t with the cosine coefficient
	=1 and the sine coefficient=2.

[4.4] 	6. (Finding forcing frequency that gives maximum repsonse.)
	   Note: there are 2 cases.