Notes on Diffy Qs

Jiří Lebl

Digital versions PDF, online HTML
Source available     Yes
Exercises Yes
Answers Yes
Solution Manual No
License CC-BY-SA and CC-BY-NC-SA
  • 466 page text for one semester of differential equations
  • 742 exercises, 248 of them with solutions
  • 488 WeBWorK exercises available to download or hosted by Edfinity for $14 to $29/student/term
  • Class tested with list of course adoptions available
  • Errata list for current version
  • Printed copy available from Lulu or Amazon for less than $20
  • Interactive Sage demos on book’s website
  • PDFs of all figures available for making slides
  • For more information and to download the PDF and to access the online version

The book is subtitled “Differential Equations for Engineers” and is suitable for the typical one term course for science and engineering students that follows calculus. The book lends itself to a variety of course designs. Beyond the first two chapters there is not a strict linear dependency for the remaining chapters. The latest version (2019) adds an appendix on linear algebra. The table of contents:

  • 1. First order equations
  • 2. Higher order linear ODEs
  • 3. Systems of ODEs
  • 4. Fourier series and PDEs
  • 5. More on eigenvalue problems
  • 6. The Laplace transform
  • 7. Power series methods
  • 8. Nonlinear systems
  • A. Linear algebra
  • B. Table of Laplace transforms

From the author’s statement on the book’s home page:

The book can be updated and modified even if I happen to drop off the face of the earth. You do not have to depend on any publisher being interested as with traditional textbooks. Furthermore, errata are fixed promptly, meaning simply that if you teach the same class next term, all errata that are spotted are already fixed. No need to wait several years for a new edition.