An advanced applied mathematics textbook presenting methods for modeling scientific computations with Mathematica. Presents an overview of the essential subjects relative to Ordinary Differential Equations. The main problems of ordinary differential equations are covered in an integrated fashion with numerous examples. Explains how to use the Mathematica package ODE.m
, which allows solution of all the theoretical problems described in the chapters.
Solutions of ODEs and Their Properties | Linear ODEs with Constant Coefficients | Power Series Solutions of ODEs and Frobenius Series | Poincare's Perturbation Method | Problems of Stability | Stability: The Critical Case | Bifurcation in ODEs | The Lindstedt-Poincare Method | Boundary-Value Problems for Second-Order ODEs | Rigid Body with a Fixed Point | How to Use the Package ODE.m
| References | Index