A First Course in Differential Equations, Modeling, and Simulation
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Product details:
- Edition number 3
- Publisher CRC Press
- Date of Publication 23 September 2025
- ISBN 9781041024217
- Binding Hardback
- No. of pages534 pages
- Size 254x178 mm
- Weight 453 g
- Language English
- Illustrations 319 Illustrations, black & white; 10 Halftones, black & white; 309 Line drawings, black & white; 11 Tables, black & white 700
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Short description:
Incorporating suggested updates from professors, the Third Edition provides students with a practical understanding of how to apply differential equations in modern engineering and science. It shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems.
MoreLong description:
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.
MoreTable of Contents:
1 Introduction. 2 Objects in a Gravitational Field. 3 Classical Solutions of Ordinary Linear Differential Equations. 4 Laplace Transforms. 5 Response of First- and Second-Order Systems. 6 Mechanical Systems: Translational. 7 Mechanical Systems: Rotational. 8 Mass Balances. 9 Thermal Systems.10 Electrical Systems..11 Numerical Simulation. Answers to Selected Problems
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