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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.

Articles from this journal are FREEly available to members of the Mathematical Association of America at the member portal www.maa.org. 

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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Author(s): Brian Winkel

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

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