Differential equations with mathematica Martha L. Abell and James P. Braselton

Includes a bibliography and an index

1. Preface 2. Introduction to Differential Equations 3. First-Order Ordinary Differential Equations 4. Applications of First-Order Ordinary Differential Equations 5. Higher-Order Differential Equations 6. Applications of Higher-Order Differential Equations 7. Systems of Ordinary Differential Equations 8. Applications of Systems of Ordinary Differential Equations 9. Laplace Transform Methods 10. Eigenvalue Problems and Fourier Series 11. Partial Differential Equations 12. Appendix: Getting Started 13. The Mathematica Menu 14. Bibliography 15. Index

NON-TECHNICAL DESCRIPTION Mathematica is an extremely powerful computer algebra system (with both symbolic and numerical capabilities), a graphing tool for any mathematical function in two or three dimensions, a self-contained programming language, and also a typesetting program. Using both symbolic and numerical capabilities, Mathematica is a two or three-dimensional graphing tool for any mathematical function, a self-contained programming language, and also a typesetting program. Intended for Mathematica beginners, this book/CD-ROM package contains built-in commands that can be used to solve problems directly and can also be used to visualise solutions. This Second Edition of the groundbreaking Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions.