Tags: Laplace Transform

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  1. SIMIODE EXPO 2021 - M-R2 - The Language of Laplace Transforms in an Introduction to Control Theory

    23 Feb 2021 | Contributor(s):: Kurt Bryan

    SIMIODE EXPO 2021 - M-R2 -  Kurt Bryan - The Language of Laplace Transforms in an Introduction to Control TheoryKurt Bryan, Rose-Hulman Institute of Technology, Terre Haute IN USAThis was a presentation made at the SIMIODE EXPO 2021  - see program.Abstract: Control...

  2. One Liner Laplace

    28 Dec 2020 | Contributor(s):: Brian Winkel

    One liners, hey I got a million of 'em. Probably said by Henny Youngman, a famous 1950's TV Comedian!Another one is, "What's the use of happiness? It can't buy you money ."--Henny Youngman Prepared by PROF Brian Winkel, Department of Mathematical...

  3. Laplace One Liner

    04 Jul 2020 | Contributor(s):: Brian Winkel

    We offer a short Mathematica file in which we demonstrate the step by step commands for solving a second order, linear, constant coefficient, ordinary differential equation using Laplace Transforms and then we condense the entire set of instructions into one line of code - hence the name one liner.

  4. 7-011-Text-S-CoupledSystemLaplace

    31 Mar 2019 | | Contributor(s):: Mitaxi Mehta

    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

  5. 7-040-S-TankInterruptMixing

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

  6. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

  7. 2009-MallettFetbrandt-Differential Equations Class Notes

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Mallett, Travis and Josh Fetbrandt. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and are intended to...

  8. 2011-Shibberu-DEClassNotes

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides.  https://www.rose-hulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

  9. 2015-Lutzer-Expected Value Introduce Laplace Transform

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Lutzer, Carl V.  2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339-348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

  10. 2017-Domokos-Differential Equations Theory and Applications Notes

    07 Sep 2017 | | Contributor(s):: Andras Domokos

    Domokos , Andras. 2017. Differential Equations - Theory and Applications – Notes. 126 pp. California State University, Sacramento.   http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the Introduction,“Differential Equations is a...

  11. Yogesh Manohar Muley


  12. 7-010-S-MultipleDoses

    12 Oct 2016 | | Contributor(s):: Brian Winkel

    Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....

  13. 7-006-S-Text-LaplaceTransformBirth

    24 Feb 2016 | | Contributor(s):: Sania Qureshi

    We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.

  14. 2007-MyersWinkel-Mystery Circuit Analysis

    20 Jun 2015 | | Contributor(s):: Joseph Myers, Brian Winkel

    Myers, Joseph and Brian Winkel. 2007.  Mystery Circuit in Mathematics Class.  The UMAP Journal. 28(1): 15-25. Article Abstract:  We discuss the introduction, student discovery, and teaching of a system of differential equations that model a circuit. In an engineering mathematics...

  15. 7-005-S-Text-LaplaceTransformOverview

    06 Jun 2015 | | Contributor(s):: Brian Winkel

    The Laplace Transform is a mathematical construct that has proven very useful in both solving and understanding differential equations. We introduce it and show its power here. This is done in a Mathematica notebook with pdf provided.