Coherent introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and differences between linear and nonlinear systems. Answers to most problems.
This book presents the basic ideas of ordinary and partial differential equations in a more in-depth manner than most other books and does so in a not-too-hard-to-follow way. If you are a mathematics major and want a more rigorous disscussion of differential equations, then go for this book. Also this book has some topics not explored in other books, like difference equations, non-linear differential equations and the stablity of solutions to differential equations. All in all, a great book for the mathematics major.
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