### Abstract

We investigate non-homogeneous linear differential equations of the form $x''(t) + x'(t) - x(t) = p(t)$ where $p(t)$ is either a polynomial or a factorial polynomial in $t$. We express the solution of these differential equations in terms of the coefficients of $p(t)$, in the initial conditions, and in the solution of the corresponding homogeneous differential equation $y''(t) + y'(t) - y(t) = 0$ with $y(0) = y'(0) = 1$.

Original language | English |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Computer Science |

Number of pages | 8 |

Publication status | Published - 1986 |

### Publication series

Name | Memoranda Informatica |
---|---|

Publisher | Department of Computer Science, University of Twente |

No. | INF-86-36 |

ISSN (Print) | 0924-3755 |

### Keywords

- HMI-SLT: Speech and Language Technology
- MSC-34A30

## Fingerprint Dive into the research topics of 'Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part'. Together they form a unique fingerprint.

## Cite this

Asveld, P. R. J. (1986).

*Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part*. (Memoranda Informatica; No. INF-86-36). Enschede: University of Twente, Department of Computer Science.