MTH 267 Homework

I do not collect homework, but you must attempt each assigned problem if you hope to pass this course. The homework exercises provide the foundation for quizzes and exams.

The first page number is what is given in the book. The number in parentheses is the page number to enter in the navigation box.

There are 22 textbook sections and 30 class meetings per semester.

Therefore, we must cover an average of 0.7 sections per class meeting, or 1.5 sections per week

Chapter 1 Introduction

1.1 Applications Leading to Differential Equations
no exercises

1.2 Basic Concepts
page 14 (24): 1, 3a, 3b, 3i, 4a, 4d, 4h, 7a, 7b

1.3 Direction Fields
page 20 (30): 12 ,13, 20

Chapter 2 First Order Equations

2.1 Linear First Order Equations
page 41(51): 2, 4, 6, 16, 20, 30

2.2 Separable Equations
page 52(62): 2, 4, 12, 18, 28

Chapter 3 Numerical Methods

3.1 Euler’s Method
page 106 (116): 2, 4, 6

Chapter 4 Applications of First Order Equations

4.1 Growth and Decay
page 138 (148): 2, 4, 16

4.2 Cooling and Mixing
page 148 (158): 2, 4, 8, 12, 18

4.3 Elementary Mechanics
page 160 (170): 2, 4, 8, 14, 18

Chapter 5 Linear Second Order Equations

5.1 Homogeneous Linear Equations
page 203 (213): 2, 4, 6, 10, 26

5.2 Constant Coefficient Homogeneous Equations
page 217 (227): 4, 8, 10, 14, 16

5.3 Nonhomogeneous Linear Equations
page 227 (237): 2, 8, 14, 24

5.4 The Method of Undetermined Coefficients I
page 235 (245): 2, 4, 12, 16, 24, 32

5.5 The Method of Undetermined Coefficients II
page 244 (254): 2, 4, 8, 22

5.6 Reduction of Order
page 252 (262): 2, 8, 20, 32

5.7 Variation of Parameters
page 262 (272): 4, 8, 16, 30, 36

Chapter 6 Applications of Linear Second Order Equations

6.1 Spring Problems I
page 277 (287): 2, 4, 6, 14

6.2 Spring Problems II
page 288 (298): 4, 10, 18, 22

6.3 The RLC Circuit
page 295 (305): 2, 6, 12

Chapter 8 Laplace Transforms

8.1 Introduction to the Laplace Transform

page 413 (403): 1a, 1b, 2a, 2b, 2h, 4a, 6, 8, 16

8.2 The Inverse Laplace Transform

page 422 (412): 2a, 2e, 4a, 8a

8.3 Solution of Initial Value Problems

page 429 (419): 2, 4, 16, 26

8.8 A Brief Table of Laplace Transforms
page 473 (463): This will be supplied for quizzes and exams

2.5 Exact Equations
page 89 (79): 2, 6, 18, 28ab

Page revised 11/11/19

Contact Dr. Goral at dgoral@nvcc.edu