\[ a x^3 y'(x)-2 a x^2 y(x)+y'(x)^2=0 \] ✓ Mathematica : cpu = 0.192215 (sec), leaf count = 56
\[\left \{\left \{y(x)\to 2 a e^{2 c_1} \left (4 e^{2 c_1}+x^2\right )\right \},\left \{y(x)\to \frac {e^{4 c_1}-2 a e^{2 c_1} x^2}{8 a}\right \}\right \}\]
✓ Maple : cpu = 0.429 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =-{\frac {a{x}^{4}}{8}},y \left ( x \right ) ={\it \_C1}\,{x}^{2}+2\,{\frac {{{\it \_C1}}^{2}}{a}} \right \} \]