## Resources

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Modeling Scenario
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##### 1-155-CruiseControl-ModelingScenario
In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control engineering.
Modeling Scenario
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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...
Modeling Scenario
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##### 4-023-MysteryCircuit-ModelingScenario
Students to build a system of differential equations which model a circuit. We give each student a unique input voltage frequency parameter and ask for system response (gain) to that input as a voltage over one of the resistors.
Article or Presentation
154

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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.
Modeling Scenario
194

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155

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Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
Modeling Scenario
223

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194

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##### 3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
Potential Scenario
108

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48

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##### 2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.
Potential Scenario
193

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40

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##### 2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
Potential Scenario
94

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35

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##### 2012-Shargel-Yu-AccessPharmacy-Applied Biopharmaceutics and Pharmacokinetics
Step by step formation of drug absorption models is shown with many good graphics of system and plots. Solutions are offered but no solution methods are shown.
Potential Scenario
114

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51

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##### 2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
Potential Scenario
144

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44

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##### 2018-Weber_Theers_Surmann_Ligges_Weihs-Sensitivity Analysis_of_Ordinary_Differential_Equation_Models
This report will focus on the sensitivity analysis of ordinary differential equation (ODE) models since they can be used to model so-called Low Frequency Oscillations (LFOs).
Potential Scenario
800

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52

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##### 2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
Modeling Scenario
181

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183

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##### 3-064-GearTrain-ModelingScenario
Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.
Modeling Scenario
340

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449

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##### 4-060-CircuitTuner-ModelingScenario
We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to tune a radio to a certain input frequency.
Potential Scenario
116

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31

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