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2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: exponential growth solutions linear systems decay conjecture

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Abstract

Resource Image We examine (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.

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From Winkel, Brian. 2015.  Informed Conjecturing of Solutions for Differential Equations in a Modeling Context, PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 25(2): 158-169.

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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.

 

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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