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A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and ph

Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents

A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and ph

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a tradition

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first pa