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
2.1	13-20	Problems which can be solved using an integrating factor. Try using Method of Undetermined Coefficients as well for practice.
2.1	30	Choosing ICs to ensure boundedness of solutions
2.1	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
2.3	17	Stephan-Boltzmann heat loss.
2.3	18	First order forcing (temperature).
3.1	1-8
3.1	9-16
3.1	17-18
3.1	21-24
3.1	28
3.2	1-6
3.2	24-27
3.2	28
3.3	7-22
3.3	27
3.4	1-14
3.4	23-30	Reduction of order - omit this year (2014)
3.5	1-20
3.5	30
3.7	1-4, 16	Converting from sum of sin and cos to a single cos expression.
3.7	6, 7, 11	Mass-spring problems.
3.7	13, 14, 17, 20, 24, 26	Mass-spring problems - parameter exploration.
3.7	15	Superposition of IC solutions.
3.7	27	An oscillating floating object.
3.8	1-4	Sum of trig functions with different period (beats).
3.8	5-8	Set up (5,6) and solve (7,8) an IVP given a description of the physical system (forced mass-spring).
3.8	9, 10, 11, 17, 18	Forced mass-spring problems.