Do on your own: 

Suggest: do these the week of Nov. 26-30 (no homework to turn in this week)

	10.3 all core problems
	10.4 all core problems
	10.6 #9, #15

Suggest: do these the week of Dec. 3-7

	18.1 #1, #5, #17, #26
	18.2 all core problems
	18.3 #3, #5
	p. A55 Appendix G #1, #10, #22, #27, #31, #38, #45

Hand in: 

	10.3 #24
	18.3 #10

	Let y(t) solve the differential equation y' = y / (y+t)
	with initial condition y(0) = 1.  The questions below are
	aimed at getting an understanding of y(t) for large t.

	(a) find a convincing argument that y(t) <= 1+t for all t.

	(b) find an argument that y(t) < (2/3) t for all large t.

	(c) can you find an argument that y(t) < c t when t is large
	enough, that works for any positive constant c?

	(d) Does y(t) increase without bound as t -> infinity?  Give a reason.