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Potential Scenario
105

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34

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2008-Luis_San_AndrÃ©s-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
Potential Scenario
152

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2012-Ogunrinde-Sunday-On some models based on second order differential equation
This paper presents some models based on second order differential equations. Such models include interaction between different kinds of species in an environment and pricing policy for optimum inventory level of a firm.
Article or Presentation
139

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2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
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...
Article or Presentation
626

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639

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2020-TeachingModule-CarSuspension
The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.
Article or Presentation
88

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46

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2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.
Article or Presentation
154

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2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is solved and interpreted.
Potential Scenario
119

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48

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2008-Ahmed_Mohameden-Solving initial-value second order ordinary differential equations on an Excel spreadsheet
This paper presents a friendly method of solving initial-value second order differential equations (DEs) analytically on a MS ExcelÂ© workbook.
Free Online Textbook
198

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101

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2021-G_Nagy-Ordinary_Differential_Equations
This is an introduction to ordinary differential equations. We describe the main ideas to solve certain differential equations, like first order scalar equations, second order linear equations, and systems of linear equations.
Potential Scenario
229

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1989-EY_Rodin-K_Egan-Mathematics modelling of the rate of chemical reactions
The development of improved designs for chemical reactors as well as the prediction of optimal operating conditions in chemical production are based on an understanding of the rates at which chemical processes occur.
Potential Scenario
318

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86

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2010-Brian_Winkel-Parameter estimates in differential equation models for chemical kinetics
We discuss the need for devoting time in differential equations courses to modelling and the completion of the modelling process with efforts to estimate the parameters in the models using data.
Potential Scenario
118

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61

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2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
Potential Scenario
127

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35

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2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
Free Online Textbook
167

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50

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2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
Modeling Scenario
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3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
Potential Scenario
143

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65