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I don't really like the textbook I've got for my differential equations class (Differential Equations with Applications by George Simmons) so I'm looking for a secondary source to use.

At the beginning of the semester our professor said that there's a lot of linear algebra used in differential equations but though I've seen hints at it, I haven't seen any bit of linear algebra explicitly stated. I did pretty well in linear algebra. Is there a textbook that covers differential equations from the standpoint of building on linear algebra ideas? That is I'm looking for a textbook that explicitly points out linear algebra and motivates its theorems and such as much as possible from linear algebra ideas.

Thanks in advance for any recommendations.

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    $\begingroup$ what is the textbook you got? $\endgroup$ – abel Feb 8 '15 at 0:09
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    $\begingroup$ One textbook that I find easy and friendly to read is Differential equations, Dynamical Systems and an Introduction to Chaos by Hirsch, Smale and Devaney. It starts very slowly and covers a lot of interesting examples with pictures. There is a specific chapter devoted to linear algebra, so you might find it useful. $\endgroup$ – Qidi Feb 8 '15 at 1:48
  • $\begingroup$ @Qidi Oh wow -- the first edition looks like exactly what I'm looking for. And it's only $4 on Amazon right now. I'll definitely be getting a copy. Thanks. $\endgroup$ – user213810 Feb 8 '15 at 2:15

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