Main
~~This 5 minute~~ tutorial gives step-by-step instructions on how to simulate dynamic systems. Dynamic systems may have differential and algebraic equations (DAEs) or just differential equations (ODEs) that cause a time evolution of the response. The tutorial covers the same problem in both MATLAB and Python.
~~This same example problem is also demonstrated with [[Main/ExcelEulers|Spreadsheet Programming]] and in the [[Main/PythonDynamicSim|Python programming language]].~~

This same example problem is also demonstrated with [[Main/ExcelEulers|Spreadsheet Programming]] and in the [[Main/PythonDynamicSim|Python programming language]]. Another example problem demonstrates how to calculate the concentration of CO gas buildup in a room.

!!!! Additional Material

* %list list-page% [[https://apmonitor.com/wiki/index.php/Apps/CarbonMonoxide | Case Study on CO Buildup in a Room]]

* [[Attach:dynamic_estimation.zip|Dynamic Estimation Files (dynamic_estimation.zip)]]

## Solve Differential Equations in MATLAB

## Main.MatlabDynamicSim History

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!!!! Large-scale Dynamic Simulation

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<iframe width="560" height="315" src="https://www.youtube.com/embed/kthDuF_Wnp4" frameborder="0" allowfullscreen></iframe>

!!!! Large-scale Dynamic Simulation

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<iframe width="560" height="315" src="https://www.youtube.com/embed/QKhy1JsdiUo" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

This tutorial gives step-by-step instructions on how to simulate dynamic systems. Dynamic systems may have differential and algebraic equations (DAEs) or just differential equations (ODEs) that cause a time evolution of the response. The tutorial covers the same problem in both MATLAB and Python.

<iframe width="560" height="315" src="https://www.youtube.com/embed/QKhy1JsdiUo" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

This tutorial gives step-by-step instructions on how to simulate dynamic systems. Dynamic systems may have differential and algebraic equations (DAEs) or just differential equations (ODEs) that cause a time evolution of the response. The tutorial covers the same problem in both MATLAB and Python.

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This same example problem is also demonstrated with [[Main/ExcelEulers|Spreadsheet Programming]] and in the [[Main/PythonDynamicSim|Python programming language]]. Another example problem demonstrates how to calculate the concentration of CO gas buildup in a room.

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!!!! Additional Material

* %list list-page% [[https://apmonitor.com/wiki/index.php/Apps/CarbonMonoxide | Case Study on CO Buildup in a Room]]

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* [[Attach:dynamics.zip|Dynamic Simulation Files (dynamics.zip)]]

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* [[Attach:dynamic_estimation.zip|Dynamic Estimation Files (dynamic_estimation.zip)]]

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(:title Solve Differential Equations in MATLAB:)

(:keywords introduction, MATLAB, differential equations, spreadsheet, nonlinear, university course:)

(:description Solve Differential Equations in MATLAB - Problem-Solving Techniques for Chemical Engineers at Brigham Young University:)

This 5 minute tutorial gives step-by-step instructions on how to simulate dynamic systems. Dynamic systems may have differential and algebraic equations (DAEs) or just differential equations (ODEs) that cause a time evolution of the response. The tutorial covers the same problem in both MATLAB and Python.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/-IDTagajoyA?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

----

MATLAB offers several solvers to numerically simulate the solution of sets of differential equations. Below are two examples of solving a first-order decay with different solvers in MATLAB. The objective is to fit the differential equation solution to data by adjusting unknown parameters until the model and measured values match.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/ynm7B0N0_Yw" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

The second example demonstrates how this same problem is solved with APM MATLAB.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/pOXcOWMo5Hs" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

This same example problem is also demonstrated with [[Main/ExcelEulers|Spreadsheet Programming]] and in the [[Main/PythonDynamicSim|Python programming language]].

----

(:html:)

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(:keywords introduction, MATLAB, differential equations, spreadsheet, nonlinear, university course:)

(:description Solve Differential Equations in MATLAB - Problem-Solving Techniques for Chemical Engineers at Brigham Young University:)

This 5 minute tutorial gives step-by-step instructions on how to simulate dynamic systems. Dynamic systems may have differential and algebraic equations (DAEs) or just differential equations (ODEs) that cause a time evolution of the response. The tutorial covers the same problem in both MATLAB and Python.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/-IDTagajoyA?rel=0" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

----

MATLAB offers several solvers to numerically simulate the solution of sets of differential equations. Below are two examples of solving a first-order decay with different solvers in MATLAB. The objective is to fit the differential equation solution to data by adjusting unknown parameters until the model and measured values match.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/ynm7B0N0_Yw" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

The second example demonstrates how this same problem is solved with APM MATLAB.

(:html:)

<iframe width="560" height="315" src="//www.youtube.com/embed/pOXcOWMo5Hs" frameborder="0" allowfullscreen></iframe>

(:htmlend:)

This same example problem is also demonstrated with [[Main/ExcelEulers|Spreadsheet Programming]] and in the [[Main/PythonDynamicSim|Python programming language]].

----

(:html:)

<div id="disqus_thread"></div>

<script type="text/javascript">

/* * * CONFIGURATION VARIABLES: EDIT BEFORE PASTING INTO YOUR WEBPAGE * * */

var disqus_shortname = 'apmonitor'; // required: replace example with your forum shortname

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