\[ -\text {Global$\grave { }$x}^{3/2} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{5/2}+\left (2 \text {Global$\grave { }$x}^{5/2} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{3/2}+\text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})-\text {Global$\grave { }$x}\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] ✓ Mathematica : cpu = 0.170405 (sec), leaf count = 72
\[\text {Solve}\left [\frac {2 \sqrt {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})} \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))}{\sqrt {\text {Global$\grave { }$x}} \sqrt {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}}-\frac {\sqrt {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})} \left (3 \text {Global$\grave { }$x}^{3/2} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{3/2} \log (\text {Global$\grave { }$x})+6 \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})-2\right )}{3 \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2}=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.101 (sec), leaf count = 32
\[ \left \{ \ln \left ( y \left ( x \right ) \right ) -{1{\frac {1}{\sqrt {x}}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}+{\frac {1}{3} \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{2}}}{x}^{-{\frac {3}{2}}}}-{\frac {\ln \left ( x \right ) }{2}}-{\it \_C1}=0 \right \} \]