\[ -2 \text {Global$\grave { }$x}^3 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2 \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-4 \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2=0 \] ✓ Mathematica : cpu = 0.425696 (sec), leaf count = 143
\[\left \{\text {Solve}\left [-\frac {\text {Global$\grave { }$x} \sqrt {\text {Global$\grave { }$x}^4 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+4} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{3/2} \sinh ^{-1}\left (\frac {1}{2} \text {Global$\grave { }$x}^2 \sqrt {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}\right )}{2 \sqrt {\text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3 \left (\text {Global$\grave { }$x}^4 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+4\right )}}-\frac {1}{4} \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ],\text {Solve}\left [\frac {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{3/2} \sqrt {\text {Global$\grave { }$x}^4 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+4} \sinh ^{-1}\left (\frac {1}{2} \text {Global$\grave { }$x}^2 \sqrt {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}\right )}{2 \sqrt {\text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3 \left (\text {Global$\grave { }$x}^4 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+4\right )}}-\frac {1}{4} \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\right \}\]
✓ Maple : cpu = 0.353 (sec), leaf count = 131
\[ \left \{ y \left ( x \right ) =-4\,{x}^{-4},y \left ( x \right ) ={\frac { \left ( \sqrt {2}{x}^{2}{\it \_C1}-2 \right ) {{\it \_C1}}^{2}}{2\,{{\it \_C1}}^{2}{x}^{4}-4}},y \left ( x \right ) =-{\frac { \left ( \sqrt {2}{x}^{2}{\it \_C1}+2 \right ) {{\it \_C1}}^{2}}{2\,{{\it \_C1}}^{2}{x}^{4}-4}},y \left ( x \right ) =-2\,{\frac {\sqrt {2}{x}^{2}{\it \_C1}-{{\it \_C1}}^{2}}{{{\it \_C1}}^{2} \left ( -2\,{x}^{4}+{{\it \_C1}}^{2} \right ) }},y \left ( x \right ) =2\,{\frac {\sqrt {2}{x}^{2}{\it \_C1}+{{\it \_C1}}^{2}}{{{\it \_C1}}^{2} \left ( -2\,{x}^{4}+{{\it \_C1}}^{2} \right ) }} \right \} \]