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

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Asveld, Peter R.J. (1988) Fibonacci-like Differential Equations with a Polynomial Non-Homogeneous Part (Revised Version). [Report]

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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 $y(0) = y'(0) = 1$.
Item Type:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/66053
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