Solving Linear Differential Equations by recursion and integrating factors

Fuente: arXiv
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Autor principal: Rivera-Oliva, Everardo
Formato: Preprint
Publicado: 2025
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author Rivera-Oliva, Everardo
author_facet Rivera-Oliva, Everardo
contents In this study, a recursive solution technique in conjunction with generalized integrating factors is presented and applied to address first and second order linear differential equations. This approach demonstrates practical utility in classical differential equations encountered in physics, inclusive of equations with variable coefficients, particularly when a pattern within the recursion is identifiable, thus enabling the derivation of an explicit expression for $y(x)$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20219
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Solving Linear Differential Equations by recursion and integrating factors
Rivera-Oliva, Everardo
Mathematical Physics
In this study, a recursive solution technique in conjunction with generalized integrating factors is presented and applied to address first and second order linear differential equations. This approach demonstrates practical utility in classical differential equations encountered in physics, inclusive of equations with variable coefficients, particularly when a pattern within the recursion is identifiable, thus enabling the derivation of an explicit expression for $y(x)$.
title Solving Linear Differential Equations by recursion and integrating factors
topic Mathematical Physics
url https://arxiv.org/abs/2502.20219