A method to determine coefficients in Cauchy-Euler differential equations of order n



Título del documento: A method to determine coefficients in Cauchy-Euler differential equations of order n
Revista: Visión electrónica
Base de datos: PERIÓDICA
Número de sistema: 000461436
ISSN: 1909-9746
Autores: 1
1
Instituciones: 1Universidad Distrital Francisco José de Caldas, Grupo de Investigación DIGITI, Bogotá. Colombia
Año:
Periodo: Ene-Jun
Volumen: 8
Número: 1
Paginación: 63-69
País: Colombia
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Prospectivo
Resumen en inglés This article presents a method that provides a simple way to find the constant coefficients required in the solution of a differential equation with Cauchy-euler structure. although this method is not fundamental in the solution of a differential equation of this type, it does propose an innovative and practical vision of differential equations of higher order with Cauchy structure in order to find the constant coefficients. Firstly, the article offers an introduction to differential equations and their use-fulness (e.g. solid mechanics, buckling of columns); then, the structu-re of a Cauchy-euler equation is presented followed by the proposed method, including mathematical proof, which guarantees the reliability of the method. Finally, conclusions are drawn regarding the usefulness of the method
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Coeficientes Cauchy-Euler,
Coeficientes constantes,
Ecuaciones diferenciales,
Soluciones numéricas
Keyword: Applied mathematics,
Cauchy Euler coefficients,
Constant coefficients,
Differential equations,
Numerical solutions
Texto completo: https://revistas.udistrital.edu.co/index.php/visele/article/view/7863/9592