Elementary Differential Equations

Elementary Differential Equations with Boundary Value Problems integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order equations, higher-order equations, systems of differential equations, etc.) the text begins with the basic existence-uniqueness theory. This provides the student the necessary framework to understand and solve differential equations. Theory is presented as simply as possible with an emphasis on how to use it. The Table of Contents is comprehensive and allows flexibility for instructors.Emphasis on linear equations. Linear and nonlinear equations (first order and higher order) are treated in separate chapters. Mathematical modeling. Most students studying differential equations are preparing for careers in the physical or life sciences. In developing models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics. Critical thinking. Emphasis on the importance of common sense, intuition, and "back-of-the-envelope" checks to help the student ask: "Does my answer make sense?" Interpretation of results. Many of the examples and exercises ask the student to anticipate and interpret the physical content of the solution. Reference in later courses. Provides students in science and engineering with a useful reference for their later coursework. Interactive Differential Equations CD. A special version of this visualization software is included FREE with every book. It is mapped specifically to the organization of this text.