Suggested problems

Problems listed here are unequivocally worth doing for practice. Those omitted from this list are omitted for a number of possible reasons - some are simple warm-ups that are unlikely to appear on a midterm or exam, some include at least one part that requires a computer or graphing calculator, some are of a slightly more theoretical nature than I don't expect you to be able to do on a midterm of exam and others may have just escaped my search by accident.

Section	Problem numbers	Description
1.1-1.2		Most of these problems are introductory and would be good if you are confused about some of the basics.
1.3	1-6	Classify by order, linearity
	7-14	Verify that a given function is a solution to particular ODE.
	19-20	Find the value of $r$ so that $t^r$ solves the given ODE.
2.1	13-20	Problems which can be solved using an integrating factor. Try using Method of Undetermined Coefficients as well for practice.
	30	Choosing ICs to ensure boundedness of solutions
	34-37	Construct equations whose solutions have the prescribed asymptotic behaviour.
2.2	1-8	Separable equations
2.3	1-4	Salt water inflow/outflow modeling problems
	17	Stephan-Boltzmann heat loss.
	18	First order forcing (temperature).
3.1	1-8
	9-16
	17-18
	21-24
	28
3.2	1-6
	24-27
	28
3.3	7-22
	27
3.4	1-14
	23-30	Reduction of order - omit this year (2014)
3.5	1-20
	30
3.7	1-4, 16	Converting from sum of sin and cos to a single cos expression.
	6, 7, 11	Mass-spring problems.
	13, 14, 17, 20, 24, 26	Mass-spring problems - parameter exploration.
	15	Superposition of IC solutions.
	27	An oscillating floating object.
3.8	1-4	Sum of trig functions with different period (beats).
	5-8	Set up (5,6) and solve (7,8) an IVP given a description of the physical system (forced mass-spring).
	9, 10, 11, 17, 18	Forced mass-spring problems.
7.9	22, 23 from 7.1	Two-tank mixing problem; for both of these, also solve the system of equations from part (a).