\[ y(x)^3 \left (4 a^2 x+3 a x^2+b\right )+y'(x)+3 x y(x)^2=0 \] ✓ Mathematica : cpu = 10.3341 (sec), leaf count = 352
\[\text {Solve}\left [c_1=\frac {\left (3 x-a \left (\sqrt {4-\frac {3 b}{a^3}}-2\right )\right ) J_{\frac {1}{2} \sqrt {4-\frac {3 b}{a^3}}}\left (-\frac {1}{2} i \sqrt {\frac {3 (b+a x (4 a+3 x)) y(x)-6 a}{a^3 y(x)}}\right )-i a \sqrt {\frac {3 y(x) (a x (4 a+3 x)+b)-6 a}{a^3 y(x)}} J_{\frac {1}{2} \left (\sqrt {4-\frac {3 b}{a^3}}+2\right )}\left (-\frac {1}{2} i \sqrt {\frac {3 (b+a x (4 a+3 x)) y(x)-6 a}{a^3 y(x)}}\right )}{\left (a \left (\sqrt {4-\frac {3 b}{a^3}}-2\right )-3 x\right ) Y_{\frac {1}{2} \sqrt {4-\frac {3 b}{a^3}}}\left (-\frac {1}{2} i \sqrt {\frac {3 (b+a x (4 a+3 x)) y(x)-6 a}{a^3 y(x)}}\right )+i a \sqrt {\frac {3 y(x) (a x (4 a+3 x)+b)-6 a}{a^3 y(x)}} Y_{\frac {1}{2} \left (\sqrt {4-\frac {3 b}{a^3}}+2\right )}\left (-\frac {1}{2} i \sqrt {\frac {3 (b+a x (4 a+3 x)) y(x)-6 a}{a^3 y(x)}}\right )},y(x)\right ]\]
✓ Maple : cpu = 2.198 (sec), leaf count = 373
\[ \left \{ {\it \_C1}+{1 \left ( -{{\sl K}_{{\frac {1}{2}\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}}+1}\left (-{\frac {\sqrt {3}}{2}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}}\right )}\sqrt {3}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}a- \left ( a\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}-2\,a-3\,x \right ) {{\sl K}_{{\frac {1}{2}\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}}}\left (-{\frac {\sqrt {3}}{2}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}}\right )} \right ) \left ( {{\sl I}_{{\frac {1}{2}\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}}+1}\left (-{\frac {\sqrt {3}}{2}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}}\right )}\sqrt {3}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}a- \left ( a\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}-2\,a-3\,x \right ) {{\sl I}_{{\frac {1}{2}\sqrt {{\frac {4\,{a}^{3}-3\,b}{{a}^{3}}}}}}\left (-{\frac {\sqrt {3}}{2}\sqrt {{\frac {4\,y \left ( x \right ) {a}^{2}x+3\,a{x}^{2}y \left ( x \right ) +by \left ( x \right ) -2\,a}{{a}^{3}y \left ( x \right ) }}}}\right )} \right ) ^{-1}}=0 \right \} \]