## Fundamentals of Differential EquationsFundamentals of Differential Equations, Sixth Edition is designed for a one-semester sophomore or junior-level course. Fundamentals of Differential Equations and Boundary Value Problems, Fourth Edition, contains enough material for a two-semester course that covers and builds on boundary-value problems. These tried-and-true texts help students understand the methods and concepts they will need to successfully complete engineering courses. The new texts retain the features that have made previous editions successful, while integrating recent advances in teaching and learning.The Fundamentals of Differential Equations and Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory). |

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#### LibraryThing Review

User Review - dcunning11235 - LibraryThingThis was a decent introductory text. I does seem quite brief. There is one thing I was not a fan of: A lot of interesting results/functions/lemmas/etc. are buried in problems. This is useful and fine ... Read full review

#### LibraryThing Review

User Review - dcunning11235 - LibraryThingThis was a decent introductory text. I does seem quite brief. There is one thing I was not a fan of: A lot of interesting results/functions/lemmas/etc. are buried in problems. This is useful and fine ... Read full review

### Contents

Contents | 1 |

FIRSTORDER DIFFERENTIAL EQUATIONS | 37 |

MATHEMATICAL MODELS | 87 |

Copyright | |

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### Common terms and phrases

algebra algorithm approximate the solution arbitrary constants assume auxiliary equation boundary conditions Cauchy-Euler equation Chapter compute constant coefficients convergence curve damping derivatives determine differential equation direction field dy/dx eigenvalues eigenvectors equa equilibrium Euler's method EXAMPLE Exercises exponential expressed Figure first-order force formula Fourier series frequency function fundamental solution set graph heat Hence Hint homogeneous equation indicial equation initial conditions initial value problem interval L/min Laplace transform Laplace's equation linear equations linear system linearly independent linearly independent solutions mass mass-spring system matrix method of undetermined multiplicity nonhomogeneous nonlinear obtain oscillator particular solution phase plane piecewise continuous polynomial power series regular singular point roots Runge-Kutta satisfies second-order Section separation of variables series expansion Show singular point sketch solu solution to equation solve spring step Substituting tank temperature Theorem tion trajectories undetermined coefficients vector velocity Wronskian zero