\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) -{\frac {\sqrt { \left| y \left( x \right)  \left( 1-y \left( x \right)  \right)  \left( 1-ay \left( x \right)  \right)  \right| }}{\sqrt { \left| x \left( 1-x \right)  \left( -ax+1 \right)  \right| }}}=0}
\]