\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =-{\frac {by \left( x \right) a-bc+{b}^{2}x+ba\sqrt {x}-{a}^{2}}{a \left( ay \left( x \right) -c+bx+a\sqrt {x} \right) }}=0}
\]