\[ y'(x)=\frac {a^3 x^3 y(x)^3+a^3 x^3 y(x)^2+a^3 x^3+3 a^2 x^2 y(x)^2+2 a^2 x^2 y(x)+a^2 x+3 a x y(x)+a x+1}{a^3 x^3} \] ✓ Mathematica : cpu = 0.114729 (sec), leaf count = 1
\[\{\}\]
✓ Maple : cpu = 0.056 (sec), leaf count = 46
\[ \left \{ y \left ( x \right ) ={\frac {29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) ax-3\,ax-9}{9\,ax}} \right \} \]