Differential Equations - An Introduction for Engineers

A free online textbook for a first course in differential equations. This is the PreTeXt version of the textbook and contains a link to the PDF version as well. See this website for more details on the book. This book was created with the Notes on Diffy Qs text by Jiri Lebl as a starting point. This book has some additional content and was reordered to fit the class that is normally run. See https://www.jirka.org/diffyqs/ for information on that text.

Branches

• main is the most up-to-date finished branch, and the one that is published to the website.
• V1.1-Edits is the upcoming branch that has yet to be merged in.

Upcoming Features

• Alternate Text for Images
• Image Descriptions for Images
• Checking for repeated words on Theorems/Examples (possibly missed in the conversion)
• Changing labelling of equations in multi-line displays and their references.
• Titles on examples (adding if needed, removing if not)
• Other various edits as needed.

Table of Contents

• Chapter 0: Introduction to Differential Equations
• Chapter 1: First Order Differential Equations
• Chapter 2: Higher Order Linear ODEs
• Chapter 3: Linear Algebra
• Chapter 4: Systems of ODEs
• Chapter 5: Nonlinear Systems
• Appendix: Prerequisite Materials
  • Polynomials and Factoring
  • Complex Numbers
  • Differentiation and Integration Techniques
  • Introduction to MATLAB

Supplemental Files

There are a few extra Python and text files in the folder that were useful in creating this PreTeXt version. These include files to convert images to PNG, create "long division" tables, and modify the Pandoc generated PreTeXt code to get it closer to the desired outcome.