SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK
Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation. In the nonhomogeneous Cauchy–Euler differential equations, the undete...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universitas Udayana
2020-05-01
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| Series: | E-Jurnal Matematika |
| Online Access: | https://ojs.unud.ac.id/index.php/mtk/article/view/60151 |
| _version_ | 1818019217002201088 |
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| author | I GEDE PUTU MIKI SUKADANA I NYOMAN WIDANA KETUT JAYANEGARA |
| author_facet | I GEDE PUTU MIKI SUKADANA I NYOMAN WIDANA KETUT JAYANEGARA |
| author_sort | I GEDE PUTU MIKI SUKADANA |
| collection | DOAJ |
| description | Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation. In the nonhomogeneous Cauchy–Euler differential equations, the undetermined coefficient and the parameter variation were the most method that often used to find the particular solution. This paper aimed to show a new solution that was shorter than the previous methods for nonhomogeneous Cauchy–Euler differential equations with the right side was a logarithmic form. The new solution had been proven to produce the same solution as the ordinary solution sought using the undetermined coefficient method. |
| first_indexed | 2024-04-14T07:49:20Z |
| format | Article |
| id | doaj.art-e91885e2716940bc9ced3ba314bf538f |
| institution | Directory Open Access Journal |
| issn | 2303-1751 |
| language | English |
| last_indexed | 2024-04-14T07:49:20Z |
| publishDate | 2020-05-01 |
| publisher | Universitas Udayana |
| record_format | Article |
| series | E-Jurnal Matematika |
| spelling | doaj.art-e91885e2716940bc9ced3ba314bf538f2022-12-22T02:05:15ZengUniversitas UdayanaE-Jurnal Matematika2303-17512020-05-019212513310.24843/MTK.2020.v09.i02.p28960151SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIKI GEDE PUTU MIKI SUKADANA0I NYOMAN WIDANA1KETUT JAYANEGARA2Universitas UdayanaUniversitas UdayanaUniversitas UdayanaOrdinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation. In the nonhomogeneous Cauchy–Euler differential equations, the undetermined coefficient and the parameter variation were the most method that often used to find the particular solution. This paper aimed to show a new solution that was shorter than the previous methods for nonhomogeneous Cauchy–Euler differential equations with the right side was a logarithmic form. The new solution had been proven to produce the same solution as the ordinary solution sought using the undetermined coefficient method.https://ojs.unud.ac.id/index.php/mtk/article/view/60151 |
| spellingShingle | I GEDE PUTU MIKI SUKADANA I NYOMAN WIDANA KETUT JAYANEGARA SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK E-Jurnal Matematika |
| title | SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK |
| title_full | SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK |
| title_fullStr | SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK |
| title_full_unstemmed | SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK |
| title_short | SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK |
| title_sort | solusi dari persamaan cauchy euler nonhomogen kasus logaritmik |
| url | https://ojs.unud.ac.id/index.php/mtk/article/view/60151 |
| work_keys_str_mv | AT igedeputumikisukadana solusidaripersamaancauchyeulernonhomogenkasuslogaritmik AT inyomanwidana solusidaripersamaancauchyeulernonhomogenkasuslogaritmik AT ketutjayanegara solusidaripersamaancauchyeulernonhomogenkasuslogaritmik |