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Ordinary differential equations are suitable for the mathematical description of time-varying processes such as the behaviour of population numbers, oscillation processes or the effect of acceleration forces. By introducing auxiliary variables, differential equations can be reduced to first-order systems. In some special cases, solutions can be explicitly given by closed formulas.

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Ordinary Differential Equations

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  • 发表日期：

    2025年

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  • Sören Bartels

摘要

Ordinary differential equations are suitable for the mathematical description of time-varying processes such as the behaviour of population numbers, oscillation processes or the effect of acceleration forces. By introducing auxiliary variables, differential equations can be reduced to first-order systems. In some special cases, solutions can be explicitly given by closed formulas.