\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac { \left( {a}^{3}+ \left( y \left( x \right)  \right) ^{4}{a}^{3}+2\, \left( y \left( x \right)  \right) ^{2}{a}^{2}b{x}^{2}+a{x}^{4}{b}^{2}+ \left( y \left( x \right)  \right) ^{6}{a}^{3}+3\, \left( y \left( x \right)  \right) ^{4}{a}^{2}b{x}^{2}+3\, \left( y \left( x \right)  \right) ^{2}a{b}^{2}{x}^{4}+{b}^{3}{x}^{6} \right) x}{{a}^{7/2}y \left( x \right) }}=0}
\]