Implicit solution (source code)

= Implicit solution
{title2=$F(x,y)=C$}

A solution specified by a relation $F(x,y)=C$, instead of by an explicit graph $y=f(x)$. Differentiating the relation verifies its <ordinary differential equation>. Where $F_y\ne0$, the <implicit function theorem> supplies a local graph; other points may require a different parameterization.