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ERIC Number: EJ914738
Record Type: Journal
Publication Date: 2011
Pages: 6
Abstractor: As Provided
Reference Count: 6
ISBN: N/A
ISSN: ISSN-1051-1970
Solving ay'' + by' + cy = 0 with a Simple Product Rule Approach
Tolle, John
PRIMUS, v21 n2 p183-188 2011
When elementary ordinary differential equations (ODEs) of first and second order are included in the calculus curriculum, second-order linear constant coefficient ODEs are typically solved by a method more appropriate to differential equations courses. This method involves the characteristic equation and its roots, complex-valued solutions, and some method (often mysterious, unnatural, or simply left unjustified) for establishing "te[superscript rt]" as a solution when "r" is the only real root. Here we outline a seldom used but more natural approach better suited to the calculus curriculum. Complex numbers are not needed, and the solution "te[superscript rt]" arises constructively.
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
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A