By Don Hickethier

Mathematics, Flathead Valley Community College, Kalispell MT USA

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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://simiode.org/resources/6746.

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