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.