For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses . The authors’ consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations — and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).
For the most part, covers the given topics at a very surface level. The examples are generally fairly clear with the exception of some places where the author just skips a step, assuming it is obvious. Overall, this provides a simple introduction to ODEs. Wouldn't recommend this book for self study though.
This serves as an alright introduction to both topics. I wouldn't recommend this as a first AND last resource for diffeq/linalg, but it's alright for beginners. Also, ignore those various reviews (on amazon and elsewhere) wherein people say one needs to be a "whiz" or anything more than an attentive reader to "tackle" this book: those are the people who would very likely never understand the material, regardless of the style of its presentation.
There are tons of diffeq/linalg texts out there, so if this doesn't strike your fancy, jump over to the next one. I would not recommend paying full price for this, however. Buy it used or steal it from a friend; I wouldn't pay more than, say, $25 for it.
Examples and some exercise solutions were wrong and I wasted time trying to figure out why my solution didn't match the given solutions but for basic knowledge the read isn't so bad