Differential Equations with Maple V®

Martha L Abell, James P. Braselton

• Publisher: Academic Press
• Year: 2014
• Print ISBN: 9780120415489
• eBook ISBN: 9781483266572
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

Differential Equations with Maple V provides an introduction and discussion of topics typically covered in an undergraduate course in ordinary differential equations as well as some supplementary topics such as Laplace transforms, Fourier series, and partial differential equations. It also illustrates how Maple V is used to enhance the study of differential equations not only by eliminating the computational difficulties, but also by overcoming the visual limitations associated with the solutions of differential equations. The book contains chapters that present differential equations and illustrate how Maple V can be used to solve some typical problems. The text covers topics on differential equations such as first-order ordinary differential equations, higher order differential equations, power series solutions of ordinary differential equations, the Laplace Transform, systems of ordinary differential equations, and Fourier Series and applications to partial differential equations. Applications of these topics are also provided. Engineers, computer scientists, physical scientists, mathematicians, business professionals, and students will find the book useful.

Table of contents

• Front Cover
• Differential Equations with Maple V®
• Copyright Page
• Table of Contents
• Preface
• CHAPTER 1. INTRODUCTION TO DIFFERENTIAL EQUATIONS
• CHAPTER 2. FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
• CHAPTER 3. APPLICATIONS OF FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS
• CHAPTER 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS
• CHAPTER 5. APPLICATIONS OF HIGHER-ORDER DIFFERENTIAL EQUATIONS
• CHAPTER 6. ORDINARY DIFFERENTIAL EQUATIONS WITH NONCONSTANT COEFFICIENTS
• CHAPTER 7. INTRODUCTION TO THE LAPLACE TRANSFORM
• CHAPTER 8. APPLICATIONS OF LAPLACE TRANSFORMS
• CHAPTER 9. SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
• CHAPTER 10. APPLICATIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
• CHAPTER 11. EIGENVALUE PROBLEMS AND FOURIER SERIES
• CHAPTER 12. PARTIAL DIFFERENTIAL EQUATIONS
• APPENDIX: GETTING HELP FROM MAPLE V
• GLOSSARY
• SELECTED REFERENCES
• INDEX