The present tutorial proposes to use concepts of physics and mathematics to help behavioral scientists to use differential equations in their studies. It focuses on the first-order and the second-order (damped oscillator) differential equation. Simple examples allow to detail the meaning of the coefficients, the conditions of applicability of these differential equations, the underlying hypothesis, and their consequences for the researcher willing to use them. More complex psychological examples demonstrate the importance of parameters’ interpretation. Particular attention is paid to how potential external perturbations should be considered.

中文翻译：

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行为科学中的常微分方程教程：物理学教给我们什么？

本教程建议使用物理和数学的概念来帮助行为科学家在他们的研究中使用微分方程。它侧重于一阶和二阶（阻尼振荡器）微分方程。简单的例子可以详细说明系数的含义、这些微分方程的适用条件、基本假设以及它们对愿意使用它们的研究人员的影响。更复杂的心理学例子证明了参数解释的重要性。特别注意应如何考虑潜在的外部扰动。