Matrix Laplace Transform Method and It Applications on Spring-Mass Systems
There are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method. Whereas to solve nonhomogenous systems, used undetermined coefficient method and variation of par...
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| Format: | Article |
| Language: | English |
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institut agama islam negeri kediri
2020-06-01
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| Series: | Journal Focus Action of Research Mathematic |
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| Online Access: | https://jurnalfaktarbiyah.iainkediri.ac.id/index.php/factorm/article/view/211 |
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| _version_ | 1841555866776502272 |
|---|---|
| author | Syamsul Arifin |
| author_facet | Syamsul Arifin |
| author_sort | Syamsul Arifin |
| collection | DOAJ |
| description | There are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method. Whereas to solve nonhomogenous systems, used undetermined coefficient method and variation of parameter method, that through some difficulties and complex procceses. But then, there is an alternative method to solve it. It is Matrix Laplace Transform Method. The goals of the research are to explain Matrix Laplace Transform Method and use it to solve initial value problems of second-order homogenous linear systems of differential equations with constant coefficients. All of matrix entries are constant. The result of the research is be obtained solutions of second-order linear systems of differential equations with constant coefficients use Matrix Laplace Transform Method |
| format | Article |
| id | doaj-art-db8bcdda54a8493bb18f31ca8a7da1f6 |
| institution | Kabale University |
| issn | 2655-3511 2656-307X |
| language | English |
| publishDate | 2020-06-01 |
| publisher | institut agama islam negeri kediri |
| record_format | Article |
| series | Journal Focus Action of Research Mathematic |
| spelling | doaj-art-db8bcdda54a8493bb18f31ca8a7da1f62025-01-07T23:48:41Zenginstitut agama islam negeri kediriJournal Focus Action of Research Mathematic2655-35112656-307X2020-06-01228510110.30762/factor_m.v2i2.1683211Matrix Laplace Transform Method and It Applications on Spring-Mass SystemsSyamsul Arifin0UIN Sunan Kalijaga YogyakartaThere are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method. Whereas to solve nonhomogenous systems, used undetermined coefficient method and variation of parameter method, that through some difficulties and complex procceses. But then, there is an alternative method to solve it. It is Matrix Laplace Transform Method. The goals of the research are to explain Matrix Laplace Transform Method and use it to solve initial value problems of second-order homogenous linear systems of differential equations with constant coefficients. All of matrix entries are constant. The result of the research is be obtained solutions of second-order linear systems of differential equations with constant coefficients use Matrix Laplace Transform Methodhttps://jurnalfaktarbiyah.iainkediri.ac.id/index.php/factorm/article/view/211metode transformasi laplace matriksmasalah nilai awalsistem persamaan diferensial linear orde dua koefisien konstansistem pegas massa |
| spellingShingle | Syamsul Arifin Matrix Laplace Transform Method and It Applications on Spring-Mass Systems Journal Focus Action of Research Mathematic metode transformasi laplace matriks masalah nilai awal sistem persamaan diferensial linear orde dua koefisien konstan sistem pegas massa |
| title | Matrix Laplace Transform Method and It Applications on Spring-Mass Systems |
| title_full | Matrix Laplace Transform Method and It Applications on Spring-Mass Systems |
| title_fullStr | Matrix Laplace Transform Method and It Applications on Spring-Mass Systems |
| title_full_unstemmed | Matrix Laplace Transform Method and It Applications on Spring-Mass Systems |
| title_short | Matrix Laplace Transform Method and It Applications on Spring-Mass Systems |
| title_sort | matrix laplace transform method and it applications on spring mass systems |
| topic | metode transformasi laplace matriks masalah nilai awal sistem persamaan diferensial linear orde dua koefisien konstan sistem pegas massa |
| url | https://jurnalfaktarbiyah.iainkediri.ac.id/index.php/factorm/article/view/211 |
| work_keys_str_mv | AT syamsularifin matrixlaplacetransformmethodanditapplicationsonspringmasssystems |