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    Modeling Scenario
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    3-067-RLCSeriesCircuit-ModelingScenario
    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical...
    resistanceMultisimcircuitRLC circuitinductancecapacitancecimulationgoverning equation
    Potential Scenario
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    2014-John_Cimbala-Dynamic System Response
    In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.
    sensor networksoscillationssystem responseelectronic circuit
    Article or Presentation
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    47

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    2007-Joseph_Myers-Brian_Winkel-Modeling_a_Mystery_Circuit_in_Mathematics_Class_Using_Differential_Equations_Laplace_Transforms_and_Transfer_Functions
    We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit.
    circuitLaplace transformtransfer functionmystery circuitvoltage frequencytwo loop circuit
    Potential Scenario
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    35

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    2008-Padir-EtAl-Teaching Differential Equations in a Diverse Classroom
    The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a 3-Story Building in an Earthquake, Triple Pendulum, Nonlinear Circuit. Phase portraits were offered in each case.
    circuitearthquakevibrationpendulumbuikldingtriple pendumlumnonlinear circuit
    Potential Scenario
    202

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    74

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    1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
    Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.
    datacollectionslaboratorycircuitRLC
    Potential Scenario
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    78

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    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
    circuitvoltagecapacitornondimensionalization
    Potential Scenario
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    2011-Kenny_Harwood-Modeling a RLC Circuit Current with Differential Equations
    This paper gives an abbreviated description of the photovaltaic effect (solar power production process) and then a RLC circuit will be modeled that is powered by a photovaltaic panel.
    tuningfrequency responseLC circuitRLC
    Modeling Scenario
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    1-077-RLMSimSeriesCircuit-ModelingScenario
    In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
    MeasurementcircuitvoltagecurrentvalidationSPICERL circuitMultilsim
    Modeling Scenario
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    504

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    3-076-CircuitBuilding-ModelingScenario
    In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients.
    simulationexperimentMultisimcircuitinductancecapacitorKirchhoff's Voltage Lawresistor
    Potential Scenario
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    40

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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.
    laboratorydata collectionRLC circuitinvers problemelectrical circuit
    Potential Scenario
    240

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    81

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    2012-Bech-EtAl-Resources For Engineering Applications Of Math
    Illustrations of applied mathematics including statics, truss, heat equation, column analysis, coupled oscillators, feedback control, AC circuit, chemical reactions, kinetics.
    kineticsheat equationcolumn analysiscoupled oscillatorsfeedback controlAC circuitchemical reactions
    Modeling Scenario
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    403

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    1-096-OP-AMP-Differentiator-ModelingScenario
    The output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and compared with the data acquired from numerical model (using...
    simulationMeasurementfeedbackMultisimcircuitvoltageoperational amplifiervalidationSPICE
    Potential Scenario
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    1999-Kowalczyk-Hausknecht-Using DEs To Model Real World Data
    With the increasing availability of easy to use interactive differential equation software, we convinced ourselves to completely redesign the way we teach differential equations.
    circuitTorricelli's LawHooke's LawRC circuitharmonic oscillatorglucoseglucose tolerance test
    Potential Scenario
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    2023-TechShareNotes. Differential Equations Modeling
    TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
    population dynamicspredator-preycircuitreactionspring masspharmacokineticscooling
    Technique Narrative
    221

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    348

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation methods.
    perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation
    Potential Scenario
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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).
    SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected
    Free Online Textbook
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    2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
    Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:
    differential equationstextbook
    Free Online Textbook
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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.
    differential equationsmodelingtextbook
    Modeling Scenario
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    3-071-WirelessTelegraphy-ModelingScenario
    This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
    bRLC circuitresonancebeatscurrentwireless telegraphyLC circuit
    Potential Scenario
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    2014-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.
    metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport