Literaturnachweis - Detailanzeige
Autor/in | Camporesi, Roberto |
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Titel | A Fresh Look at Linear Ordinary Differential Equations with Constant Coefficients. Revisiting the Impulsive Response Method Using Factorization |
Quelle | In: International Journal of Mathematical Education in Science and Technology, 47 (2016) 1, S.82-99 (18 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
DOI | 10.1080/0020739X.2015.1057246 |
Schlagwörter | Algebra; Calculus; Equations (Mathematics); Mathematics Instruction; Introductory Courses; College Mathematics; Science Education; Engineering Education; Majors (Students); Mathematical Logic |
Abstract | We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator. The approach is elementary, we only assume a basic knowledge of calculus and linear algebra. In particular, we avoid the use of distribution theory, as well as of the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The approach presented here can be used in a first course on differential equations for science and engineering majors. (As Provided). |
Anmerkungen | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |