Solution Manual for

Ordinary Differential Equations

An Introduction to the Fundamentals,

2nd Edition

  Published by CRC Press

 

Prepared by Dr. Kenneth Howell,

Department of Mathematical Sciences, University of Alabama in Huntsville

   

(Back to the textbook's web portal)

 

Below are the chapters of the solution manual for Ordinary Differential Equations: An Introduction to the Fundamentals, 2nd Edition, published by CRC Press.  (More precisely, below are the links to pdf files for the chapters.)

 

 

Some General Comments and Warnings:

 

1)  These solutions should be used only as a last resort!  Try doing the work yourself, first, using what is in the text as a guide.  If you need help, then see your instructor or go to any math tutoring service available to you.  Only if all else fails should you peek at the solutions here.

 

2)  Keep in mind that there may be several ways to answer a single problem.  What is given here is only one possible way to derive each correct answer.

 

3)  Beware of tpyos and dumb mistookes!  Much of what's below was written hastily and at odd hours, and was not adequately proofread.   If you find what you believe to be an error in any of these solutions, please let the author know (see below).  It would be appreciated if you included "DE Text Solutions" in the subject line of your email.

 

4)  Also feel free to send the author any other comments about this webpage or this text.

 

5)  This material is not in the public domain, and is protected by the copyright laws of the United States.  Viewers of this site have permission to download and use the material being made available here for their personal study.  You, the viewer, may download files, print a few chapters for your personal use, and have links to this website, but please, do not otherwise republish this material without the author's permission.

 

6)  By the way, "the author" is Dr. Kenneth Howell at the University of Alabama in Huntsville, and can be contacted at  howellkb@uah.edu .

 

 

 

Solutions to Selected Exercises

Chapter Published /

Modified

Notes

Part 1 - The Basics   

Chpt 1 - The Starting Point

1/1/2020

 

Chpt 2 - Integration

1/17/2020

  typo in 7c fixed 

Part 2 - First-Order Equations 

Chpt 3 - Basics

1/1/2020

 

Chpt 4 - Separable Eqns

1/1/2020

 

Chpt 5 - Linear Eqns

1/1/2020

 

Chpt 6 - Substitution

1/1/2020  

Chpt 7 - The Exact Form & Gen Integrating Factors

12/3/2024

Error in the solution to 7.5a fixed

Chpt 8 - Review Exercises

1/1/2020

 

Chpt 9 - Slope Fields

1/18/2020  Broken link fixed 

Chpt 10 - Num Methds I:  Euler's Method

1/18/2020  Broken link fixed 

Chpt 11 - Modeling

1/18/2020

 Broken link fixed 

 

Chpt 12 - Num Methds II: Beyond Euler's Method

1/18/2020  Broken link fixed 
     

Part 3 - Higher Order Equations  

Chpt 13 - Extending FIrst-Order Concepts

1/1/2020

 

 

Chpt 14 - Linear DEs & Reduction of Order

1/1/2020  

Chpt 15 - Homog DE Soln (General Results) 

1/1/2020

 

Chpt 16 - Homog DE Soln (Verifying & Intro to Lin Operators) 

1/1/2020

 

 

Chpt 17 - 2nd-Order Const Coeff Eqns

4/13/2021

 Error in 8g fixed 

Chpt 18 - Springs: Part I

1/1/2020

 

Chpt 19 - Arb Const Coeff Eqns

1/1/2020

 

Chpt 20 - Euler Eqns

1/1/2020

 

Chpt 21 - Gen Nonhomg Eqns

1/1/2020

  

Chpt 22 - Method of Undet Coeffs

1/1/2020

 

Chpt 23 - Springs: Part II

1/1/2020  

Chpt 24 - Variation of Parameters

1/1/2020

 

Chpt 25 - Review Exercises

1/1/2020

 

Part 4 - Laplace Transforms      

Chpt 26 - Intro to Laplace Transforms

1/1/2020

 

Chpt 27 - Differentiation & Laplace Transforms

1/1/2020

 

Chpt 28 - Inverse Laplace Transforms

1/1/2020

 

Chpt 29 - Convolution

1/1/2020

 

Chpt 30 - Piecewise-Defined & Periodic Fcts

1/1/2020

 

 

Chpt 31 - Delta Fcts

1/1/2020

 

Part 5 - Power Series & Modified Power Series Solutions      

Chpt 32 - Review of Series

      1/1/2020

Chpt 33 - Power Series Solns I: Computational Methods

     1/1/2020

Chpt 34 - Power Series Solns II: Generalizations & Theory)

    1/18/2020

 Broken link fixed 

Chpt 35 - Modified Power Series Solns & Frobenius Method

     1/1/2020

Chpt 36 - Theorems on Frobenius Method w/ Applics

     1/1/2020

Chpt 37 - Verifying the Theorems on Frobenius Method

There are no exercises in this chapter

Part 6 - Systems of Differential Equations (Brief Intro)              

Chpt 38 - A Starting Point

     1/1/2020

Chpt 39 - Critical Points, Direction Fields & Trajectories

     1/1/2020

Chpt 40 - Num Methods III: Systems & High-Order DEs

     1/1/2020

 

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Required Official Disclaimer: "The views, opinions, and conclusions expressed in this page are those of the author or organization and not necessarily those of The University of Alabama in Huntsville or its officers and trustees. The content of this page has not been reviewed or approved by UAHuntsville and the author or organization is solely responsible for its content."

Addendum:  According the official policy of the University of Alabama in Huntsville, this website is officially an unofficial UAHuntsville website and is not connected with UAHuntsville.

 

Copyright Notice:  The material at this site and all the material linked to from this site is protected under the copyright laws of the United States of America (see www.copyright.gov for more information on these laws).  The author grants the viewers of this site the permission to download and use this material for their personal study, but does not grant permission for any other use of this material.

 

Who to Contact If There Is a Reason to Contact the Guy Maintaining This Site:  Prof. Kenneth Howell, howellkb@uah.edu 

________________________________________________________