Tags: long duration (1-2 night homework)

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  1. 7-011-Text-S-CoupledSystemLaplace

    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. 7-008-S-MachineReplacement

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

      Students build an differential equation model using a convolution for machine replacement strategies for two different machine failure models: (1) exponentially distributed failure (student exercise) and (2) fixed time replacement. We discuss all the necessary probability notions which...