A First Course in Differential Equations

• Main Author: David Logan, J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Matrix theory.; Algebra.; Differential equations.; Partial differential equations.; Ordinary Differential Equations.; Linear and Multilinear Algebras, Matrix Theory.; Partial Differential Equations.

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasi...

Table of Contents:

• Preface
• Differential Equations and Models
• Analytic Solutions and Approximations.-Second-Order Differential Equations
• Laplace Transforms
• Linear Systems
• Nonlinear Systems
• Appendix A: References
• Appendix B: A Brief on MATLAB
• Appendix C: Maple Commands
• Appendix D: Sample Examinations
• Appendix E: Solutions to Selected Exercises.