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 Third Edition: Reworks the chapter Response of First and Second Order Systems to include the system response to step changes, impulses, rectangular pulses, and sinusoid forcing functions as well as the response of coupled first and second order ODEs; it also introduces Bode plots to analyze the frequency response of second order ODE and the principle of oscillation modes in coupled second order ODE. Adds a new section on springs and dampers in series or parallel. Includes new content on Simulink and modelling. Contains new exercises that can be used as projects and answers to many of the end-of-chapter problems. Features new end-of-chapter problems and updates throughout. This textbook provides students with a practical understanding of how to apply differential equations in modern engineering and science. A solutions manual and files of all figures in the text are available to adopting professors.