## 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Chapter Summary | 20 |

Q m MATHEMATICAL MODELS AND NUMERICAL METHODS | 70 |

LINEAR SECOND ORDER EQUATIONS | 129 |

Copyright | |

10 other sections not shown

### 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