A First Course in Differential Equations, Modeling, and Simulation
eBook - ePub

A First Course in Differential Equations, Modeling, and Simulation

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

A First Course in Differential Equations, Modeling, and Simulation

About this book

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 ordinary differential equations (ODEs); it also introduces Bode plots to analyze the frequency response of second-order ODEs and the principle of oscillation modes in coupled second-order ODEs
  • Adds a new section on springs and dampers in series or parallel
  • Includes new content on Simulink® and modeling
  • Contains new exercises that can be used as projects and answers to many of the end-ofchapter 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.

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Yes, you can access A First Course in Differential Equations, Modeling, and Simulation by Carlos A. Smith,Scott W. Campbell,Ryan G. Toomey in PDF and/or ePUB format, as well as other popular books in Mathematics & Arithmetic. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2025
eBook ISBN
9781040399798

Table of contents

  1. Cover
  2. Half Title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Authors
  9. Chapter 1 Introduction
  10. Chapter 2 Objects in a Gravitational Field
  11. Chapter 3 Classical Solutions of Ordinary Linear Differential Equations
  12. Chapter 4 Laplace Transforms
  13. Chapter 5 Response of First- and Second-Order Systems
  14. Chapter 6 Mechanical Systems: Translational
  15. Chapter 7 Mechanical Systems: Rotational
  16. Chapter 8 Mass Balances
  17. Chapter 9 Thermal Systems
  18. Chapter 10 Electrical Systems
  19. Chapter 11 Numerical Simulation
  20. Answers to Selected Problems
  21. Index