[Math] A book on the ins and outs of ordinary differential equations

Question

Please I want to request for recommendation of a book that can be used to have a good grasp of the concepts of ODE. Mainly the uniqueness, existence, stability and various proofs and applications of solution. I have this book by Ferdinand Verhulst, but it isn't detailed at all. And also can anyone help with Ordinary Differential Equations: Introduction and qualitative theory by Jane Cronin?

Answer 1

Here are some good books:

Robinson - An Introduction to ODEs

Pollard - Ordinary Differential Equations

Boyce & DiPrima - Elementary Differential Equations

Arnold - Ordinary Differential Equations

Arnold is fairly advanced.