Differential Equations Essential Skills Practice Workbook with Answers

Like other branches of mathematics, you learn it by DOING it...and all these review books by the author are heavily focused on practice problems with some explanations. This is not meant to be a primary text book as much theory is omitted. The main gap I see is that there is not a section of solving DE's by power series, which is introduced in pretty much every ODE class.Like the other books in the series (Physics, Single and multivariable Calculus, Trig) I strongly endorse these to my high-school students

Excellent

What I liked most is that this text extensively developed the treatment of ODEs with variable coefficients of the independent variable, through Recurrence of Power Series Expansions to the important special cases of these including the Hermite Laguerre, Cheyshev, and Legendre varieties. The final chapter ties it all together with applied problems in electric circuits, mechanical motions, and econometric growth rates.What I found disappointing is that this text stopped short with the introduction of the Wronskian for determining linear independence of solutions, when I wanted it to boldly go forward into the use of the Wronskian to systematically determine all the solutions to NON-Homogeneous ODEs. The subject of NON-Homogneous ODE's was completely side-stepped in this text.I, also, greatly appreciated the design of the problem sets where previous exercises set the foundation for more complicated ones to come. I often found the more complicated problems were simplified by re-using the solutions determined in the previous simpler exercises. IE.) Don't re-invent the wheel concept.

It's simple and to the point. I think that it's wonderful for practicing, however you would definitely need a more comprehensive Calculus book to better understand its concepts.

Excellent tutorial. I hope he writes one for partial differential equations

Well defined, great author I trust!!!!

It is a good techniques and practice text for solving certain types of ODE's.

The material was very dry and tough to read. It was all text and math equations - no visuals to help illustrate the material. My eyes glazed over just skimming through the various chapters. I saw some examples using electrical circuits in the problem description. I do not have an educational background in an electrical field, so I had a hard time trying to relate to those examples. I have a couple other books from this author which I have enjoyed and learned from, but this book was very disappointing.