## Fundamentals of Differential Equations, Volume 1*New applications-driven sections have been added to the chapter on linear second-order equations. *The chapter regarding the introduction to systems and phase plane analysis has been reorganized and modernized to better facilitate student understanding of the material. *More material on dynamical systems has been added. *A new section on the phase line has been added to the beginning of the text. *Group Projects relating to the material covered appear at the end of each chapter. *Revised exercise sets provide fresh material for instructors who have used the text before. *Updated Interactive Differential Equations CD is keyed specifically to the text, and included free with every book. *An updated Instructors MAPLE Manual, tied to development of the text, with suggestions on incorporating MAPLE into the courses, and including sample worksheets for labs, is available. *The texts also allow optional use of Computer Algebra Systems, with many exercises and projects included to let students use software to solve interesting and realistic problems and exercises. *Necessary proofs in a conceptual presentation are always included, but may be skipped, allowing flexibility in the level of c |

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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

I | 1 |

Group Projects for Chapter l | 41 |

MATHEMATICAL MODELS | 93 |

Copyright | |

17 other sections not shown

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Fundamentals of Differential Equations R. Kent Nagle,E. B. Saff,Arthur David Snider Snippet view - 2003 |

### Common terms and phrases

approximate the solution arbitrary constants assume auxiliary equation Cauchy-Euler equation Chapter compute constant coefﬁcients convergence damping deﬁned Deﬁnition derivative determine direction ﬁeld discussed dy/dx eigenvalues eigenvectors equa equation of motion equilibrium Euler’s method EXAMPLE I SOLUTION exponential expressed Figure ﬁnd ﬁnding ﬁrst order equation ﬁxed ﬂow force formula Fourier series frequency fundamental solution fundamental solution set given govemed graph Hence IEnd indicial equation initial conditions initial value problem interval L/min Laplace transform linear equations linearly independent linearly independent solutions mass matrix Newton’s nonlinear numerical obtain oscillator particular solution phase plane Poincaré map polynomial power series procedure reduction of order roots satisﬁes Section separation of variables Show sinx sketch solu solution to equation solve spring step size h subroutine Substituting tank temperature Theorem tion trajectories vector velocity vibrating Wronskian zero