\[ \boxed { {x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +a{x}^{2} \left ( y \left ( x \right ) \right ) ^{3}+b \left ( y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 0.523066 (sec), leaf count = 343 \[ \text {Solve}\left [\frac {\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} \sqrt [3]{b} y(x)}\right ) \text {Ai}\left (\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} y(x) \sqrt [3]{b}}\right )^2-\frac {\sqrt [3]{a} x}{\sqrt [3]{2} b^{2/3}}\right )+\text {Ai}'\left (\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} y(x) \sqrt [3]{b}}\right )^2-\frac {\sqrt [3]{a} x}{\sqrt [3]{2} b^{2/3}}\right )}{\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} \sqrt [3]{b} y(x)}\right ) \text {Bi}\left (\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} y(x) \sqrt [3]{b}}\right )^2-\frac {\sqrt [3]{a} x}{\sqrt [3]{2} b^{2/3}}\right )+\text {Bi}'\left (\left (\frac {b^{2/3}}{2^{2/3} \sqrt [3]{a} x}+\frac {1}{2^{2/3} \sqrt [3]{a} y(x) \sqrt [3]{b}}\right )^2-\frac {\sqrt [3]{a} x}{\sqrt [3]{2} b^{2/3}}\right )}+c_1=0,y(x)\right ] \]
Maple: cpu = 0.156 (sec), leaf count = 178 \[ \left \{ y \left ( x \right ) =-{\sqrt [3]{2}abx \left ( \sqrt [3]{2}a{b} ^{2}-2\, \left ( {a}^{2}{b}^{2} \right ) ^{2/3}{\it RootOf} \left ( { {\rm Bi}\left (-1/2\,{\frac {a{2}^{2/3}x-2\,{{\it \_Z}}^{2}\sqrt [3]{{a }^{2}{b}^{2}}}{\sqrt [3]{{a}^{2}{b}^{2}}}}\right )}{\it \_C1}\,{\it \_Z }+{\it \_Z}\,{{\rm Ai}\left (-1/2\,{\frac {a{2}^{2/3}x-2\,{{\it \_Z}}^{ 2}\sqrt [3]{{a}^{2}{b}^{2}}}{\sqrt [3]{{a}^{2}{b}^{2}}}}\right )}+{ {\rm Bi}^{(1)}\left (-1/2\,{\frac {a{2}^{2/3}x-2\,{{\it \_Z}}^{2}\sqrt [3]{{a}^{2}{b}^{2}}}{\sqrt [3]{{a}^{2}{b}^{2}}}}\right )}{\it \_C1}+{ {\rm Ai}^{(1)}\left (-1/2\,{\frac {a{2}^{2/3}x-2\,{{\it \_Z}}^{2}\sqrt [3]{{a}^{2}{b}^{2}}}{\sqrt [3]{{a}^{2}{b}^{2}}}}\right )} \right ) x \right ) ^{-1}} \right \} \]