## Fundamentals of Differential EquationsThis text is in a flexible one-semester text that spans a variety of topics in the basic theory as well as applications of differential equations. |

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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

Chapter Summary | 20 |

Q m MATHEMATICAL MODELS AND NUMERICAL METHODS | 70 |

LINEAR SECOND ORDER EQUATIONS | 129 |

Copyright | |

10 other sections not shown

### Other editions - View all

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 boundary conditions boundary value problem Cauchy-Euler equation Chapter compute constant coefficients convergence corresponding homogeneous equation curves damping derivatives determine dy/dx eigenvalues eigenvectors equa equilibrium Euler's method example Exercises exponential express Figure force formula Fourier series fourth order Runge-Kutta function fundamental solution set gives graph heat Hence indicial equation initial conditions initial value problem interval L/min Laplace transform linear equations linear system linearly independent solutions mass matrix method of undetermined nonlinear obtain particular solution phase plane piecewise continuous Poincare map polynomials power series procedure regular singular point roots Runge-Kutta method satisfies second linearly independent second order equation separation of variables series expansion series solution Show sinx solution to equation solve spring spring-mass system step Substituting tank temperature Theorem tion undetermined coefficients vector velocity Wronskian yp(x zero