Reform differential equations book that designed for conceptual understanding and using technology. It emphasizes how differential equations can be used as an investigative tool, not just to verify results. It provides an intuitive approach that gets readers to think about what a differential equation is, what it means, and what you can tell from it.
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Encouraging the student to experiment and explore in order to understand the concepts of ordinary differential equations, this text explains how to determine properties of a solution directly from the differential equation. Wherever possible, concepts are explored graphically, algebraically, numerically, and descriptively. The authors assume that the user has access to mathematical software that draws slope fields, generates numerical solutions, and allows data and graphs of functions to be displayed simultaneously.
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