Consider the Clairaut equationfor which in Eq. Show that the lineis tangent to the parabo...

Consider the Clairaut equation

for which in Eq. Show that the line

is tangent to the parabola y = x2 at the point Explain why this implies that y = x2 is a singular solution of the given Clairaut equation. This singular solution and the one-parameter family of straight line solutions are illustrated in Fig.