Particular solution of a non-homogeneous third-order Cauchy-Euler ordinary differential equation applying the ECA method
DOI:
https://doi.org/10.71068/0b70wr40Keywords:
Cauchy-Euler, third order, linear method, linear differential equation, mathematical softwareAbstract
In this investigation, the particular solution of a third-order non-homogeneous ordinary Cauchy Euler differential equation will be found, which has the form x^3 y^'''+x^2 y^''=f(x) in which the linear ECA method will be used, which consists of changing the variable y^'', in order to solve it as a first-order linear differential equation, the result of which is integrated twice in terms of the dependent variable and thus obtain the particular solution that is exactly the same as that obtained analytically by any mathematical method or that determined using mathematical software.
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Cevallos Ayón, E. R. (2025). Solución particular de una ecuación diferencial ordinaria de Cauchy Euler no homogénea de segundo orden aplicando el método ECA. https://doi.org/10.59814/resofro.2025.5(2)657
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Copyright (c) 2025 Edwin Ramon Cevallos Ayon, Nicolle Michelle Cevallos Andagoya (Autor/a)
This work is licensed under a Creative Commons Attribution 4.0 International License.
