The following year Clairaut studied the differential equations now known as 'Clairaut's differential equations' and gave a singular solution in addition to the general integral of the equations.
Ang mga sumusunod na taon Clairaut-aralan ang kaugalian equation na ngayon na kilala bilang 'Clairaut's kaugalian equation' at ibinigay ng isang isahan solusyon sa karagdagan sa mga pangkalahatang kailangan ng equation.