, 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 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-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.
,
, A First Course in Differential
Equations, Modeling,
and Simulation
3rd Edition
Carlos A. Smith, Scott W. Campbell,
and Ryan G. Toomey
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 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-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.
,
, A First Course in Differential
Equations, Modeling,
and Simulation
3rd Edition
Carlos A. Smith, Scott W. Campbell,
and Ryan G. Toomey
