Table of Contents

1. Introduction 1
2. Getting Started with Maple 7
3. Doing Mathematics with Maple 11
4. Using Maple Documents 41
Problem Set A: Practice with Maple 47
5. Solutions of Differential Equations 51
6. A Qualitative Approach to Differential Equations 65
Problem Set B: First Order Equations 73
7. Numerical Methods 83
8. Features of Maple 97
Problem Set C:Numerical Solutions 111
9. Solving and Analyzing Second Order Linear Equations 119
Problem Set D: Second Order Equations 135
10. Series Solutions 149
11. Laplace Transforms 155
Problem Set E: Series Solutions and Laplace Transforms 165
12. Higher Order Equations and Systems of First Order Equations 177
13. Qualitative Theory for Systems of Differential Equations 193
Problem Set F: Systems of Differential Equations 201
Glossary 215
Sample Solutions 223
Index 243