克莱罗方程是形式如 的常微分方程。

两边对取导数：

由此可知或 。 在前面的情况， ，称为克莱罗方程的一般解。

后者只有一个解，其图象是一般解的图象的包络线。这个奇解通常以参数方程 表示。

In mathematics, a Clairaut's equation is a differential equation of the form

To solve such an equation, we differentiate with respect to x, yielding

so

Hence, either

or

In the former case, C = dy/dx for some constant C. Substituting this into the Clairaut's equation, we have the family of straight line functions given by