# Clairaut's Differential Equation

Clairaut's Differential Equation

Clairaut's differential equation has the form . Its general solution is a one-parameter family of straight lines . The singular solution is obtained by eliminating the parameter from the equations and .

y=y'x+g(y')

y=Cx+g(C)

C

y=Cx+g(C)

x=-g'(C)