\[ \text {Global$\grave { }$x} \left (\sqrt {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}-1\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \left (\sqrt {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}+1\right )=0 \] ✓ Mathematica : cpu = 0.0827822 (sec), leaf count = 24
\[\text {Solve}\left [\frac {2}{\sqrt {\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}}+\log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\log (\text {Global$\grave { }$x})=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.014 (sec), leaf count = 31
\[ \left \{ \ln \left ( x \right ) -{\it \_C1}-{\frac {1}{2} \left ( \ln \left ( xy \left ( x \right ) \right ) \sqrt {xy \left ( x \right ) }+2 \right ) {\frac {1}{\sqrt {xy \left ( x \right ) }}}}=0 \right \} \]