Differential Equations with Mathematica, Contents

Differential Equations with Mathematica, Second Edition

Table of Contents

1.	Introduction	1
2.	Getting Started with Mathematica	9
3.	Doing Mathematics with Mathematica	19
	Problem Set A: Practice with Mathematica	31
4.	Using Mathematica Notebooks	35
5.	Solutions of Differential Equations	43
6.	A Qualitative Approach to Differential Equations	51
	Problem Set B: First Order Equations	59
7.	Numerical Methods	69
8.	Features of Mathematica	83
	Problem Set C:Numerical Solutions of Differential Equations	101
9.	Qualitative Theory of Second Order Linear Equations	109
	Problem Set D: Second Order Equations	123
10.	Series Solutions	133
10.	Laplace Transforms	139
	Problem Set E: Series Solutions and Laplace Transforms	149
11.	Higher Order Equations and Systems of First Order Equations	157
12.	Qualitative Theory for Systems of Differential Equations	171
	Problem Set F: Systems of Equations	179
	Glossary	195
	Sample Notebook Solutions	201
	Index	233