Differential Equations covers everything from the history of differential equations, classifying types of them, to solving numerous first order, second order, and even higher order differential equations. Numerous applications are also given for each type, with an entire chapter dedicated to it. Each chapter contains multiple examples, and over 100 exercises are given at the end of the book. This book is a great supplemental to a differential equations course, or as a refresher for someone who took the class long ago. I hope you join me in learning something today!
This was a quick read and lovely as a refresher for differential equations. Things were explained in a very concise and simple manner, with some historical background which I appreciated. This was a two for one as it was a refresher on some topics for me, and was actually enjoyable.
While this book is doing a great job at the taxonomy of differential equations, it falls short at providing relevant example of real world application and when it does, they lack depth and provide very little insight on the mathematical structure of the solution.
Proofs are also very sparse. It is basically a brief recipe book for calculations that don't want you to question how or why it works. It does a poor job a building an intuition.
That book could only be useful as a reminder for things you already studied, but even at that, you're probably better off skimming an actual textbook.
Note also that this book is inexpensive because it is self-published and thereford bypassed peer review. While it's not that big of a deal since it's not promoting novel ideas, reader should remain cautious as uncaught mistakes could be in the book.