\[ \boxed { 2\,{x}^{3}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +{x}^{2} \left ( 9+2\,xy \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +b+xy \left ( x \right ) \left ( a+3\,xy \left ( x \right ) -2\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2} \right ) =0} \]
Mathematica: cpu = 53.614308 (sec), leaf count = 52 \[ \text {DSolve}\left [x y(x) \left (a-2 x^2 y(x)^2+3 x y(x)\right )+b+2 x^3 y''(x)+x^2 (2 x y(x)+9) y'(x)=0,y(x),x\right ] \]
Maple: cpu = 1.810 (sec), leaf count = 108 \[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_a}\,{ {\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+ {\it \_C1}}},[ \left \{ {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) = \left ( -{{\it \_a}}^{3}+{\frac {{{\it \_a} }^{2}}{2}}+{\frac {a{\it \_a}}{2}}-{\frac {5\,{\it \_a}}{2}}+{\frac {b }{2}} \right ) \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{3} + \left ( -{\it \_a}-{\frac {3}{2}} \right ) \left ( {\it \_b} \left ( { \it \_a} \right ) \right ) ^{2} \right \} , \left \{ {\it \_a}=xy \left ( x \right ) ,{\it \_b} \left ( {\it \_a} \right ) =-{\frac {1}{x \left ( x{ \frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) \right ) }} \right \} , \left \{ x= \left ( {{\rm e}^{\int \!{\it \_b} \left ( {\it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}} \right ) ^{-1 },y \left ( x \right ) ={\it \_a}\,{{\rm e}^{\int \!{\it \_b} \left ( { \it \_a} \right ) \,{\rm d}{\it \_a}+{\it \_C1}}} \right \} ] \right ) \right \} \]