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**utopiaNow** Well the textbook I used in my ODE course and then in my PDE course was "**Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima**" It's fairly comprehensive in terms of topics covered and techniques outlined, has many exercises and solutions for the even numbered questions I believe. I would say it's more of a beginner textbook (I used it in 2nd/3rd year undergrad), not sure though as I haven't read any other texts on this subject. It's definitely very well suited for self-study and can be supplemented by other texts if you wish.

Hope this helps.