\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {b{x}^{3}+{c}^{2}\sqrt {a}-2\,cb{x}^{2}\sqrt {a}+2\,c \left( y \left( x \right)  \right) ^{2}{a}^{3/2}+{b}^{2}{x}^{4}\sqrt {a}-2\, \left( y \left( x \right)  \right) ^{2}{a}^{3/2}b{x}^{2}+{a}^{5/2} \left( y \left( x \right)  \right) ^{4}}{a{x}^{2}y \left( x \right) }}=0}
\]