## Table of Contents

1. Introduction 12. 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