2-005-Text-S-LinearizeItAll

By Don Hickethier

Mathematics, Flathead Valley Community College, Kalispell MT USA

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Abstract

Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to the nonlinear ODE model with its first order approximation.

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Researchers should cite this work as follows:

  • Don Hickethier (2019), "2-005-Text-S-LinearizeItAll," https://www.simiode.org/resources/6746.

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