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ERIC Number: EJ1221346
Record Type: Journal
Publication Date: 2019
Pages: 14
Abstractor: As Provided
ISSN: ISSN-1051-1970
Forced Differential Equations: Problems to Impact Intuition
Sochacki, James S.; Thelwell, Roger; Tongen, Anthony
PRIMUS, v29 n6 p527-540 2019
How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and mathematical intuition about polynomial forcing, as we build tools and techniques (including Green's function) to explore the amazing behavior of y[superscript n] + y(t) = tan(t). We encourage the insightful use of a Computer Algebra System, and provide a paired supplemental MAPLE worksheet.
Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A