Math 555: Differential Equations I

Summer 2014



Recommended Exercises:


All exercises are from this book:
Elementary Differential Equations, 10th ed., Boyce and DiPrima.

Section (pages): #s

Exam 1:

1.2 (15-7): 1!, 4, 5! & 6, 7, 13, 15
1.1 (7-10): 3, 5, 7, 11, 13, 15 & 17 & 19, 23?, 25
1.3 (24-5): 1, 3, 5, 7, 9, 14!, 15, 17, 19, 27

2.2 (48-50): 2, 3, 5, 8, 12, 13, 21, 29, 30?
2.1 (39-41): 1c, 5c, 11c, 13, 16, 19, 20, 33, 38! & (39, 42)
2.6 (101-2): 1, 2, 4, 6, 10, 14a, 17!, 18!, 19, 21, 25?, 32

Good Problems 1 Solutions

2.4 (76-7): 1, 2, 5, 6, 7, 11, 14, 15, 23, (25 & 26)!
2.8 (120): 7ab!, 8ab!, 10, 13?

Good Problems 2 Solutions

Midterm Exam 1 solutions

Exam 2:

3.1 (144-5): 1--16 all, 25ab, 27
3.3 (164-6): 1, 3!, 5, 8, 12, 14, 18, 19, 20, 23a, 25ab, 27, 29!, 30?, 31?, 35, 41
3.2 (155-7): 1, 3, 17, 19, 20, 25, 27, 37, 41, 42, 45
3.4 (172-5): 1--14 all, 19?, 23, 24, 28, 40
3.5 (184-5): 1, 6, 8, 14, 16, 19, 21a, 23a, 28
3.6 (190-1): 1--4 all, 5, 7, 9, 11, 16--19 all

Good Problems 3 Solutions
Good Problems 4 Solutions

Midterm Exam 2 solutions

Exam 3:

5.1 (253): 1, 2, 4, 7, 8, 10, 12, 14, 15, 16, 17!, 18!, 21
5.2 (263-5): 1--4 all, 15, 21, 23, 27
5.3 (269-71): 5, 7, 8, 10?, (24 & 27 & 28)?
5.4 (280-1): 1--11 odd, 13, 15, 17, 18, 40?, 46--49 all

Good Problems 5 DNE
Good Problems 6 solutions

Midterm Exam 3 solutions

Exam 4 (Final, part I):

6.1 (315-6): 1, 2, 3, 51, 6!, 7, 11, 15, 19, 25, 30*
6.2 (324-6): 1, 2, 7, 9, 11, 14, 15, 19, 21, 23, (29? & 30 & 31), 38?
6.3 (333-4): 1, 4, 12!, 13!, 15!, 16!, 20!, 21!, 25ab, 25c?
6.4 (340-1): 1--5 all !, 9, 13

Good Problems 7 solutions
Good Problems 8 solutions
Good Problems 8.5 solutions

Final Project:

Here is the pdf.

And here are some example Excel files:
Example 1
Example 2
Example 3

Final Exam:

Final Exam, Part I solutions
Final Exam, Part II solutions

Key :
* : problem is particularly interesting, either for physical or mathematical reasons. It is not clear, however, if it is worth doing.
& : problems are related and should be considered as one.
! : problem is particularly worth doing.
? : problem may or may not be worth doing, but definitely note the result.

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