Informed Conjecturing of Solutions for Differential Equations in a Modeling Context

• Autores: Brian Winkel
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 25, Nº. 2, 2015, págs. 158-169
• Idioma: inglés
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• Resumen

  • We examine two differential equations. (i) first-order exponential growth or decay; and (ii) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their solution. We follow with a discussion of the complete analysis afforded by this approach, including parameter estimation.