Looking for a logically coherent book for the self-study of differential equations

reference-request self-learning ordinary-differential-equations

Solution 1:

I started studying ODE for the first time about a week ago and today I stumbled upon this book called An Introduction to Ordinary Differential Equations by Earl A. Coddington, at my school's library. Judging by the reviews on the link, apparently this is a classic.

I think it is exactly what you (we) want. It doesn't look like an analyst wrote it at all. Before I checked I was sure the author must have been an algebraist.

From the little time I spent with it I reckoned the book is very clear, the proofs are complete and detailed. Every random page I opened seemed to make sense. I'm definitely buying it.

The downside is it only talks about ODE.

I even like differential equations now!

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