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Technique Narratives (1-3 of 3)

  1. 7-011-Text-S-CoupledSystemLaplace

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    31 Mar 2019 | | Contributor(s):: Mitaxi Pranlal 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...

  2. 9-001-Text-S-SkinBurnModelNumericalMethods

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    18 Aug 2018 | | Contributor(s):: Suruchi Singh

    The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...

  3. 5-030-S-Text-LinNonHomoSystemSol

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    26 Aug 2016 | | Contributor(s):: Brian Winkel

    We offer strategies for solving linear systems of nonhomogeneous differential equations of the form  X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant coefficient, linear, nonhomogeneous, differential equations.