A First Course in Differential Equations, Modeling, and Simulation

A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the textbook also discusses classical and Laplace transform methods for obtaining the analytical solution of differential equations. In addition, the authors explain how to solve sets of differential equations where analytical solutions cannot easily be obtained.

Incorporating valuable suggestions from mathematicians and mathematics professors, the Second Edition:



Expands the chapter on classical solutions of ordinary linear differential equations to include additional methodsIncreases coverage of response of first- and second-order systems to a full, stand-alone chapter to emphasize its importanceIncludes new examples of applications related to chemical reactions, environmental engineering, biomedical engineering, and biotechnologyContains new exercises that can be used as projects and answers to many of the end-of-chapter problemsFeatures new end-of-chapter problems and updates throughoutThus, A First Course in Differential Equations, Modeling, and Simulation, Second Edition provides students with a practical understanding of how to apply differential equations in modern engineering and science.