Clairaut's Equation

Any differential equation of the form

$y = px + f(p)$ where $p= \frac{dy}{dx}$ and y is a function of x is known as Clairaut's Equation.

named after Alexis Claude de Clairaut, a French mathematician.

The simplest Solution of this type of equation is

$y = cx + f(c)$ where c is any arbitrary constant.

page revision: 1, last edited: 15 Apr 2008 16:42