An alternative presentation of the method of variation of parameters for higher-order equations
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov |
| Title: | An alternative presentation of the method of variation of parameters for higher-order equations |
| Journal: | Lobachevskii Journal of Mathematics |
| Year: | 2010 |
| Volume: | 31 |
| Issue: | 2 |
| Pagination: | 174-191 |
| ISSN: | 1995-0802 |
| Publisher: | Springer |
| URI/DOI: | 10.1134/S1995080210020083 |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap) School of Engineering S-371 79 Karlskrona +46 455 38 50 00 http://www.bth.se/ing/ |
| Language: | English |
| Abstract: | An alternative approach to Lagrange's method of variation of parameters is presented. Explicit formulas for solutions of arbitrary initial value problems for linear equations of the first, second and third order are provided. These formulas are as simple for practical using as the formula for roots of quadratic equations. |
| Subject: | Mathematics\General |
| Keywords: | Initial value problem, Linear equations, Method of variation of parameters |
