A new method to solve the second-order linear difference equations with constant coefficients |
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| Authors: | Antonio Rivera-Figueroa José Manuel Rivera-Rebolledo |
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| Institution: | 1. Mathematics Education Department, Centre for Research and Advanced Studies, Av. Instituto Politécnico Nacional 2508, Col. San Pedro Zacatenco, México City 07360, Mexicoarivera@cinvestav.mx;3. Physics Department, Escuela Superior de Física y Matemáticas del IPN, Unidad Profesional Adolfo López Mateos, Edificio 9, Col. Lindavista, México City 07738, Mexico |
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| Abstract: | In this paper, we give a new and straightforward method to solve the non-homogeneous second-order linear difference equations with constant coefficients. It is new because it does not require the uniqueness theorem of the solution of the problem of initial values. Neither does it require a fundamental system of solutions, nor the method of variation of parameters. Moreover, we get a unique formula that expresses the general solution independently of the multiplicities of the roots of the characteristic equation. |
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| Keywords: | linear difference equations second-order linear difference equations general solution method of variation of parameters |
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