Informed Conjecturing in a Modeling Context Differential Equations

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Abstract

We examine two differential equations, (1) first order exponential growth or decay and (2) 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.

 

This is the preprint version of the published article: Winkel, B. J. 2015. Informed Conjecturing of Solutions for Differential Equations in a Modeling Context. PRIMUS. 25(2): 158-169.

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Researchers should cite this work as follows:

  • Brian Winkel (2017), "Informed Conjecturing in a Modeling Context Differential Equations," https://simiode.org/resources/3425.

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