Math 555: Differential Equations I




Recommended Exercises


On this page you will find recommended exercises for each part of the book that we cover. You are expected to understand the concepts as well as the computations involved in completing each of the exercises.


Part 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



Part 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



Part III: Other Methods (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 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



Final Project: Numerical Methods (Section 2.7 and Chapter 8)




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