\[ 3 a y(x)^3+6 a x y(x)^2+y'(x)=0 \] ✓ Mathematica : cpu = 0.318768 (sec), leaf count = 185
\[\text {Solve}\left [\frac {\sqrt [3]{-3} \sqrt [3]{a} x \text {Ai}\left ((-3)^{2/3} a^{2/3} x^2-\frac {(-1)^{2/3}}{\sqrt [3]{3} \sqrt [3]{a} y(x)}\right )+\text {Ai}'\left ((-3)^{2/3} a^{2/3} x^2-\frac {(-1)^{2/3}}{\sqrt [3]{3} \sqrt [3]{a} y(x)}\right )}{\sqrt [3]{-3} \sqrt [3]{a} x \text {Bi}\left ((-3)^{2/3} a^{2/3} x^2-\frac {(-1)^{2/3}}{\sqrt [3]{3} \sqrt [3]{a} y(x)}\right )+\text {Bi}'\left ((-3)^{2/3} a^{2/3} x^2-\frac {(-1)^{2/3}}{\sqrt [3]{3} \sqrt [3]{a} y(x)}\right )}+c_1=0,y(x)\right ]\] ✓ Maple : cpu = 0.051 (sec), leaf count = 48
\[ \left \{ y \left ( x \right ) = \left ( 3\,a{x}^{2}+{\it RootOf} \left ( {{\rm Bi}\left ({\it \_Z}\right )}\sqrt [3]{-3\,a}{\it \_C1}\,x+\sqrt [3]{-3\,a}x{{\rm Ai}\left ({\it \_Z}\right )}+{{\rm Bi}^{(1)}\left ({\it \_Z}\right )}{\it \_C1}+{{\rm Ai}^{(1)}\left ({\it \_Z}\right )} \right ) \sqrt [3]{-3\,a} \right ) ^{-1} \right \} \]