USE OF ORDINARY DIFFERENTIAL EQUATIONS APPLIED TO MECHANICAL AND ELECTRICAL PROBLEMS WITH FIRST ORDER LINEAR SYSTEMS

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Published: Apr 7, 2023
DOI: https://doi.org/10.52783/rlj.v11i7s.1449
Keywords:
Differential Equations L-R-C circuits Mechanical problems Wolfram Mathematica Spring-mass systems

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MARTHA XIMENA DÁVALOS VILLEGAS, JENNY MARGOTH VILLAMARÍN PADILLA, JANNETH DEL ROCÍO MOROCHO YAUCÁN

Abstract

In recent years there has been an increased interest in the study of mathematics applied to engineering to study aspects of its teaching.  In the present research work, a compilation of analytical concepts of differential equations applied to the solution of problems of electrical circuits, a branch of electrical engineering and mechanical engineering problems, specifical problems of spring-mass mechanical systems, through the description of the analytical solutions of direct current electrical circuits and spring-mass mechanical systems, applying differential equations.  This method stands out among the diverse mathematical treatments used to solve this type of engineering problem, both for its demonstrative elegance and capacity to offer a total answer.  Likewise, practical engineering examples related to the studied subject were presented and the results were obtained and analyzed by using the mathematical software, Wolfram Mathematica.

Article Details

Issue
Vol. 11 No. 7s (2023)
Section
Education Law
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author Biography

MARTHA XIMENA DÁVALOS VILLEGAS, JENNY MARGOTH VILLAMARÍN PADILLA, JANNETH DEL ROCÍO MOROCHO YAUCÁN

MARTHA XIMENA DÁVALOS VILLEGAS A *, JENNY MARGOTH VILLAMARÍN PADILLA B, JANNETH DEL ROCÍO MOROCHO YAUCÁN C

a Facultad de Ciencias, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba, 060155, Ecuador,

b Facultad de Administración de Empresas, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba, 060155, Ecuador,

c Facultad de Ciencias, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba, 060155, Ecuador,

 

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