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)