## Differential Equations with Boundary-Value ProblemsDIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

### What people are saying - Write a review

User Review - Flag as inappropriate

Book

User Review - Flag as inappropriate

GOOG BOOK

### Contents

Introduction to Differential Equations | 1 |

FirstOrder Differential Equations | 35 |

Modeling with FirstOrder Differential Equations | 83 |

HigherOrder Differential Equations | 116 |

Modeling with HigherOrder Differential Equations | 192 |

Series Solutions of Linear Equations | 231 |

The Laplace Transform | 273 |

Systems of Linear FirstOrder Differential Equations | 325 |

Fourier Series | 419 |

BoundaryValue Problems in Rectangular Coordinates | 455 |

BoundaryValue Problems in Other Coordinate Systems | 493 |

Integral Transforms | 510 |

Numerical Solutions of Partial Differential Equations | 534 |

Appendixes | 551 |

Answers for Selected OddNumbered Problems | 575 |

I-1 | |

### Other editions - View all

Differential Equations with Boundary Value Problems, 8e, International ... Dennis Zill,Warren Wright No preview available - 2016 |

Differential Equations with Boundary-Value Problems Dennis G. Zill,Michael R. Cullen,Warren S Wright No preview available - 2012 |

### Common terms and phrases

2012 Cengage Learning Answers to selected approximate boundary conditions boundary-value problem Cauchy-Euler equation coefficients constant converges copied Copyright 2012 Cengage critical point defined determine Due to electronic duplicated dx dt dy dt dy dx eBook and/or eChapter(s eigenvalues eigenvector electronic rights equilibrium position Eulerâ€™s method Example Exercises explicit solution first-order differential equation Fourier series given differential equation Graph for Problem homogeneous initial conditions initial-value problem integral interval Laplace transform linear system linearly independent mass matrix motion nonhomogeneous nonlinear numerical solver obtain odd-numbered problems begin orthogonal partial differential equation particular solution plane autonomous system polynomial population power series REVIEW MATERIAL Rights Reserved scanned Section selected odd-numbered problems separation of variables series solutions shown in Figure singular point sinh sinx solution curve solve the given spring suppressed tank Theorem third party content tion values variables vector velocity whole yp(x zero