## Differential Equations with MathematicaNON-TECHNICAL DESCRIPTION Mathematica is an extremely powerful computer algebra system (with both symbolic and numerical capabilities), a graphing tool for any mathematical function in two or three dimensions, a self-contained programming language, and also a typesetting program. Using both symbolic and numerical capabilities, Mathematica is a two or three-dimensional graphing tool for any mathematical function, a self-contained programming language, and also a typesetting program. Intended for Mathematica beginners, this book/CD-ROM package contains built-in commands that can be used to solve problems directly and can also be used to visualise solutions. This Second Edition of the groundbreaking Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions. Features: * Focuses on the most often used features of Mathematica for the beginning Mathematica use |

### What people are saying - Write a review

#### LibraryThing Review

User Review - cmdpilot - LibraryThingI f you have Mathematica, it is an excellent book with many example equations and applications. Read full review

### Contents

FirstOrder Ordinary Differential Equations | 35 |

Kidney Dialysis | 53 |

Applications of FirstOrder Ordinary Differential Equations | 112 |

Copyright | |

12 other sections not shown

### Other editions - View all

### Common terms and phrases

apply the initial approximation AspectRatio Axes AxesOrigin Bessel boundary conditions calculate Cauchy-Euler equation Clear[x coefficients command compute Cos[t define determine displayed DisplayFunction DSolve dy/dx eigenvalues eigenvectors equilibrium position first-order Fourier series Fourier sine series gensol graph the solution graphics object GrayLevel GrayLevel[0 grays Hence homogeneous equation Identity initial conditions initial-value problem integral interval InverseLaplaceTransform Laplace transform Laplace's equation LaplaceTransform[y[t linear linearly independent Log[x Mathematica matrix naming the resulting nonhomogeneous equation nonlinear Notice numsol obtain ordinary differential equations package Parameters ParametricPlot partial differential equations particular solution partsol PlotPoints PlotRange PlotStyle polynomial population power series separation of variables set of functions Simplify Sin[t Sin[x solve the initial-value somegraphs step2 stepl substituting system of equations Table Theorem tion toplot toshow value problem variables various values velocity Wolfram Research Wronskian yields zero