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 
