Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version)

Peter R.J. Asveld

Research output: Book/ReportReportOther research output

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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
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Computer Science
Number of pages7
Publication statusPublished - 1988

Publication series

NameMemoranda Informatica
PublisherUniversity of Twente, Department of Computer Science
No.INF-88-10
ISSN (Print)0923-1714

Fingerprint

Differential equation
Homogeneous differential equation
Polynomial
Factorial
Linear differential equation
Initial conditions
Express
Coefficient
Form

Keywords

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

Cite this

Asveld, P. R. J. (1988). Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). (Memoranda Informatica; No. INF-88-10). Enschede: University of Twente, Department of Computer Science.
Asveld, Peter R.J. / Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). Enschede : University of Twente, Department of Computer Science, 1988. 7 p. (Memoranda Informatica; INF-88-10).
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Asveld, PRJ 1988, Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). Memoranda Informatica, no. INF-88-10, University of Twente, Department of Computer Science, Enschede.

Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). / Asveld, Peter R.J.

Enschede : University of Twente, Department of Computer Science, 1988. 7 p. (Memoranda Informatica; No. INF-88-10).

Research output: Book/ReportReportOther research output

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T1 - Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version)

AU - Asveld, Peter R.J.

PY - 1988

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N2 - 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 $y(0) = y'(0) = 1$.

AB - 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 $y(0) = y'(0) = 1$.

KW - MSC-34A30

KW - HMI-SLT: Speech and Language Technology

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BT - Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version)

PB - University of Twente, Department of Computer Science

CY - Enschede

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Asveld PRJ. Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). Enschede: University of Twente, Department of Computer Science, 1988. 7 p. (Memoranda Informatica; INF-88-10).