## Differential Equations with MathematicaThe Third Edition of the 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 recent versions of Mathematica and is a perfect introduction for Mathematica beginners. * Focuses on the most often used features of Mathematica for the beginning Mathematica user * New applications from a variety of fields, including engineering, biology, and physics * All applications were completed using recent versions of Mathematica |

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### Contents

1 | |

41 | |

Chapter 3 Applications of FirstOrder Ordinary Differential Equations | 119 |

Chapter 4 HigherOrder Differential Equations | 175 |

Chapter 5 Applications of HigherOrder Differential Equations | 321 |

Chapter 6 Systems of Ordinary Differential Equations | 411 |

Chapter 7 Applications of Systems of Ordinary Differential Equations | 567 |

Chapter 8 Laplace Transform Methods | 617 |

Chapter 9 Eigenvalue Problems and Fourier Series | 727 |

Chapter 10 Partial Differential Equations | 783 |

Getting Started | 841 |

The Mathematica Menu | 863 |

865 | |

867 | |

### Other editions - View all

Differential Equations with Mathematica Martha L. Abell,James P. Braselton No preview available - 2016 |

### Common terms and phrases

apply the initial approximation AspectRatio Axes Automatic AxesOrigin boundary conditions Clearx coefficients command compute constant corresponding homogeneous equation Cos2 Cos2t Cos3 Cos4 cosx define direction field associated displayed DisplayFunction DisplayFunction DisplayFunction Identity DSolve DSolvext dy/dx eigenvalues eigenvectors EXAMPLE first-order Fourier series Fourier sine series gensol graph the solution GrayLevel 0.5 heat equation Hence initial conditions initial-value problem integrating interval InverseLaplaceTransform kvals Laplace transform LaplaceTransformyt linear linearly independent Logx Mathematica matrix naming the resulting nonhomogeneous equation nonlinear numsol obtained ordinary differential equations parametrically ParametricPlot partial differential equation particular solution Plot in Figure PlotPoints PlotRange PlotStyle GrayLevel population Runge–Kutta method separation of variables Simplify Sin2 Sin2t Sin3 Sin4 Sin4t Sint sinx solve the initial-value somegraphs step1 step2 Theorem tion toplot toshow variables various values velocity Wronskian zero

### Popular passages

Page 1 - A differential equation is an equation involving derivatives or differentials of one or more dependent variables with respect to one or more independent variables.

Page 73 - Solve : : tdep : The equations appear to involve the variables to be solved for in an essentially non-algebraic way...