Differential Equations with Mathematica, Contents

Differential Equations with Mathematica, Third Edition

Table of Contents

1.	Introduction	1
2.	Getting Started with Mathematica	7
3.	Doing Mathematics with Mathematica	13
4.	Using Mathematica Notebooks	31
	Problem Set A: Practice with Mathematica	41
5.	Solutions of Differential Equations	45
6.	A Qualitative Approach to Differential Equations	59
	Problem Set B: First Order Equations	69
7.	Numerical Methods	79
8.	Features of Mathematica	97
	Problem Set C:Numerical Solutions of Differential Equations	121
9.	Solving and Analyzing Second Order Linear Equations	129
	Problem Set D: Second Order Equations	145
10.	Series Solutions	159
10.	Laplace Transforms	167
	Problem Set E: Series Solutions and Laplace Transforms	177
11.	Higher Order Equations and Systems of First Order Equations	189
12.	Qualitative Theory for Systems of Differential Equations	205
	Problem Set F: Systems of Equations	213
	Glossary	229
	Sample Solutions	239
	Index	261