Math 555: Differential Equations I

On this page you will find recommended exercises for the 10th edition of the book. These are from an old course, and may not correspond exactly with the 11th edition's RE.

Key:
& : exercises are linked and should be regarded as one single exercise
! : exercise is especially worth doing
? : it's not clear if the exercise is worth doing completely, but definitely think about it.


Unit I: First Order DEs (Chapters 1 and 2)

Section 1.2: 1!, 4, 5! & 6, 7, 13, 15
Section 1.1: 3, 5, 7, 11, 13, 15 & 17 & 19, 23, 25
Section 1.3: 1, 3, 5, 7, 9, 14!, 15, 17, 19, 27

Section 2.2: 2, 3, 5, 8, 12, 13, 21, 29, 30
Section 2.1: 1c, 5c, 11c, 13, 16, 19, 20, 33, 38! & (39, 42)
Section 2.6: 1, 2, 4, 6, 10, 14a, 17!, 18!, 19, 21, 25, 32
Section 2.4: 1, 2, 5, 6, 7, 11, 14, 15, 13, (25 & 26)!
Section 2.8: 7ab!, 8ab!, 10, 13

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Unit II: Higher Order Linear DEs (Chapters 3 and 4)

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

Section 4.1: 15 & (16, 17), 19
Section 4.2: 8--25 all
Section 4.3: 1--13 all
Section 4.4: 1--8 all, 12

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Unit III: Series Solutions and Laplace Transforms (Chapters 5 and 6)

Section 5.1: 1, 2, 4, 7, 8, 10, 12, 14, 15, 16, 17!, 18!, 21
Section 5.2: 1--4 all, 15, 21, 23, 27
Section 5.3: 5, 7, 8, 10?, (24 & 27 & 28)?
Section 5.4: 1--11 odd, 13, 15, 17, 18, 40?, 46--49 all
Section 5.5: 1--6 all, 7--10 all
Section 5.6: 1--8 all, 14?

Section 6.1: 1, 2, 3, 51, 6!, 7, 11, 15, 19, 25, 30*
Section 6.2: 1, 2, 7, 9, 11, 14, 15, 19, 21, 23, (29? & 30 & 31), 38?
Section 6.3: 1, 4, 12!, 13!, 15!, 16!, 20!, 21!, 25ab, 25c?
Section 6.4: 1--5 all !, 9, 13
Section 6.5: 1--8 all, 19?

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Applied Project: Selections from Chapters 2, 3, and 8

Section 2.7: 1--8 all, 11!, 15!

Section 8.1: 3--12 all, 13, 20?
Section 8.2: 2--11 all, 12?, 14, 15, 20! & (21--24 all)
Section 8.3: 2--11 all

Section 2.3: 3--6 all, 9, 12, 15, 19, 21, 24
Section 2.5: 1--9 all, 16 & 17, 18, 19, 20, 22, 23 & 24 & 25, 27

Section 3.7: 1, 4, 5, 7, 14
Section 3.8: 1, 3, 6 & 8, 17