## Differential Equations with Boundary-value ProblemsThis Fourth Edition of the expanded version of Zill's best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS places an even greater emphasis on modeling and the use of technology in problem solving and now features more everyday applications. Both Zill texts are identical through the first nine chapters, but this version includes six additional chapters that provide in-depth coverage of boundary-value problem-solving and partial differential equations, subjects just introduced in the shorter text. Previous editions of these two texts have enjoyed such great success in part because the authors pique students' interest with special features and in-text aids. Pre-publication reviewers also praise the authors' accessible writing style and the text's organization, which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications. Among the boundary-value related topics covered in this expanded text are: plane autonomous systems and stability; orthogonal functions; Fourier series; the Laplace transform; and elliptic, parabolic, and hyperparabolic partial differential equations, and their applications. |

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### Contents

Introduction to Differential Equations | 2 |

FirstOrder Differential Equations | 30 |

Differential Equations | 60 |

Copyright | |

14 other sections not shown

### Common terms and phrases

amount Answers to odd-numbered applied approximate assume becomes boundary-value problem called Chapter circuit coefficients Consider constant continuous converges corresponding critical point curve damping defined DEFINITION dependent derivatives described determine difference differential equation discussion eigenvalues equal equilibrium position error EXAMPLE EXERCISES exists expression Figure first-order follows force formula function given gives graph half-life Hence homogeneous indicated initial conditions initial-value problem integral interval Laplace transform linear mass mathematical matrix method motion multiple nonlinear Note obtain operator partial particular solution periodic population position power series respectively result roots satisfies second-order separation shown in Figure simply singular point sinh solve spring step substitution Suppose tank temperature Theorem tion unit variables verify weight write yields zero ди