Do on your own: 

	10.1 all core problems
	10.2 all core problems
	18.4 # 1,3,9,11

Hand in: 

	10.1 #12
	18.4 #12

	Find the value of y(1) to within two decimal places, where
	y(t) solves the differential equation y' = t * [1 - t/(1+y^2)]
	with initial condition y(0) = 1.  Use Euler iteration; state
	a reason to believe that you probably got within 0.005
	of the correct value.

	Extra credit: do this a second way, using Picard iteration.
	You will want to replace the function with a Taylor series 
	before integrating.  If you use the "taylor" or the "series"
	command in Maple, it is reasonably painless to produce,
	say, a 12-term Taylor approximation, but don't forget to
	change this to an actual polynomial (copy the series and
	paste it without the O(t^12) term) before integrating!