This section presents and discusses several examples of using ODEs to model and study various physical phenomena. The examples are organized to show increasing complexity, beginning with single equations involving one variable and progressing to systems of equations with multiple variables. The examples below simplify the discussion by omitting units of measurement for the parameters used in the models. This approach helps keep the analysis clear and avoids complicating it with unit conversions.

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Examples of ODE Models of Physical Phenomena

  • Daniele Caligiore,
  • Samuele Carli

摘要

This section presents and discusses several examples of using ODEs to model and study various physical phenomena. The examples are organized to show increasing complexity, beginning with single equations involving one variable and progressing to systems of equations with multiple variables. The examples below simplify the discussion by omitting units of measurement for the parameters used in the models. This approach helps keep the analysis clear and avoids complicating it with unit conversions.