Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part

Peter R.J. Asveld

    Research output: Contribution to journalArticleAcademicpeer-review

    18 Downloads (Pure)

    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 languageEnglish
    Pages (from-to)303-309
    Number of pages7
    JournalThe Fibonacci Quarterly
    Volume27
    Issue number4
    Publication statusPublished - 1989

    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