This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world.  It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach.  The authors present the material in a way that?s clear and understandable to students at all levels.  Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.