\[ \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \left (2 \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))+1\right )-2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] ✓ Mathematica : cpu = 0.0408406 (sec), leaf count = 35
\[\text {Solve}\left [\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}^2}+2 \left (\frac {1}{2} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2 \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2}{4}\right )=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.061 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( 2\,{\it \_Z}\,{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}-{x}^{2} \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{2}+2\,{x}^{2}{\it \_C1}+2\,{{\rm e}^{{\it \_Z}}} \right ) }} \right \} \]