\[ \text {Global$\grave { }$a} \text {Global$\grave { }$x}^3 \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-2 \text {Global$\grave { }$a} \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2=0 \] ✓ Mathematica : cpu = 0.194611 (sec), leaf count = 56
\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to 2 e^{2 c_1} \text {Global$\grave { }$a} \left (4 e^{2 c_1}+\text {Global$\grave { }$x}^2\right )\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {e^{2 c_1} \left (e^{2 c_1}-2 \text {Global$\grave { }$a} \text {Global$\grave { }$x}^2\right )}{8 \text {Global$\grave { }$a}}\right \}\right \}\]
✓ Maple : cpu = 0.46 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =-{\frac {a{x}^{4}}{8}},y \left ( x \right ) ={x}^{2}{\it \_C1}+2\,{\frac {{{\it \_C1}}^{2}}{a}} \right \} \]