LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD
In the history of Mathematics, frequently happens that certain topics (especially the numeric calculation) has perfectlydefined its theoretical solution, but the heap of operations to find a conclusive result, in multiple occasions, don’t allowto arrive to the final results. The solution of diffe...
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Corporación Universitaria Republicana
2019-07-01
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| Series: | Revista Ingeniería, Matemáticas y Ciencias de la Información |
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| Online Access: | https://ojs.urepublicana.edu.co/index.php/ingenieria/article/view/589 |
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| author | JUAN ANTONIO MARTIN ALFONSO CARLOS MANUEL MATA RODRÍGUEZ |
| author_facet | JUAN ANTONIO MARTIN ALFONSO CARLOS MANUEL MATA RODRÍGUEZ |
| author_sort | JUAN ANTONIO MARTIN ALFONSO |
| collection | DOAJ |
| description | In the history of Mathematics, frequently happens that certain topics (especially the numeric calculation) has perfectlydefined its theoretical solution, but the heap of operations to find a conclusive result, in multiple occasions, don’t allowto arrive to the final results.
The solution of differential equations represents a demonstrative example. At the end of the XIX century, the electricitywas a fundamental theme in the society and every time new situations appeared that complicates the solution of technicalproblems, especially with the theory of the electric circuits, where was necessary solving differential equations withclassic methods, making intense use of the techniques of integration and derivation, which constituted, in multipleoccasions, a remarkable obstacle from the engendering point of view, and it was at the end of the century when an Englishelectrical engineer established a group of practical rules to arrive to this solutions without necessity of using the basicsof calculus.
Although these rules propitiated the solutions, was necessary to do complex algebraic operations, in occasions, longand tedious, so, comparatively, it was not clear which procedure would be the best.
At the present time, with the support of mathematical software, especially Mathcad, we can arrive to this solution in aquick way and with a high grade of precision.
In the present text is described an algorithmic procedure to find the solution of differential equations with initial conditions, applying the transformed of Laplace. |
| format | Article |
| id | doaj-art-09a5f5e1a6b44ae985a28f0d75d4dbb7 |
| institution | Matheson Library |
| issn | 2357-3716 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Corporación Universitaria Republicana |
| record_format | Article |
| series | Revista Ingeniería, Matemáticas y Ciencias de la Información |
| spelling | doaj-art-09a5f5e1a6b44ae985a28f0d75d4dbb72025-07-02T01:12:32ZengCorporación Universitaria RepublicanaRevista Ingeniería, Matemáticas y Ciencias de la Información2357-37162019-07-01612253510.21017/rimci.2019.v6.n12.a64LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCADJUAN ANTONIO MARTIN ALFONSO0https://orcid.org/0000-0003-3146-699XCARLOS MANUEL MATA RODRÍGUEZ1https://orcid.org/0000-0002-1075-2324Universidad de Ciego de Ávila “Máximo Gómez Báez”Universidad de Ciego de Ávila “Máximo Gómez Báez”In the history of Mathematics, frequently happens that certain topics (especially the numeric calculation) has perfectlydefined its theoretical solution, but the heap of operations to find a conclusive result, in multiple occasions, don’t allowto arrive to the final results. The solution of differential equations represents a demonstrative example. At the end of the XIX century, the electricitywas a fundamental theme in the society and every time new situations appeared that complicates the solution of technicalproblems, especially with the theory of the electric circuits, where was necessary solving differential equations withclassic methods, making intense use of the techniques of integration and derivation, which constituted, in multipleoccasions, a remarkable obstacle from the engendering point of view, and it was at the end of the century when an Englishelectrical engineer established a group of practical rules to arrive to this solutions without necessity of using the basicsof calculus. Although these rules propitiated the solutions, was necessary to do complex algebraic operations, in occasions, longand tedious, so, comparatively, it was not clear which procedure would be the best. At the present time, with the support of mathematical software, especially Mathcad, we can arrive to this solution in aquick way and with a high grade of precision. In the present text is described an algorithmic procedure to find the solution of differential equations with initial conditions, applying the transformed of Laplace.https://ojs.urepublicana.edu.co/index.php/ingenieria/article/view/589differential equationslaplace transformsvibrations of a mass on a springelectric circuits |
| spellingShingle | JUAN ANTONIO MARTIN ALFONSO CARLOS MANUEL MATA RODRÍGUEZ LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD Revista Ingeniería, Matemáticas y Ciencias de la Información differential equations laplace transforms vibrations of a mass on a spring electric circuits |
| title | LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD |
| title_full | LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD |
| title_fullStr | LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD |
| title_full_unstemmed | LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD |
| title_short | LA TRANSFORMADA DE LAPLACE EN LA SOLUCIÓN DE ECUACIONES DIFERENCIALES CON ALGORITMO DE CÁLCULO EN MATHCAD |
| title_sort | la transformada de laplace en la solucion de ecuaciones diferenciales con algoritmo de calculo en mathcad |
| topic | differential equations laplace transforms vibrations of a mass on a spring electric circuits |
| url | https://ojs.urepublicana.edu.co/index.php/ingenieria/article/view/589 |
| work_keys_str_mv | AT juanantoniomartinalfonso latransformadadelaplaceenlasoluciondeecuacionesdiferencialesconalgoritmodecalculoenmathcad AT carlosmanuelmatarodriguez latransformadadelaplaceenlasoluciondeecuacionesdiferencialesconalgoritmodecalculoenmathcad |