Differential Equations with Maple, Contents

Differential Equations with Maple, Third Edition

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