\[ 5 x^2 y(x)^3+\left (10 x^3 y(x)^2+x^2 y(x)+2 x\right ) y'(x)+x y(x)^2=0 \] ✓ Mathematica : cpu = 45.1591 (sec), leaf count = 59
\[\text {Solve}\left [-\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \left (\frac {\log \left (5 \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2+2\right )}{2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}+\frac {\tan ^{-1}\left (\sqrt {\frac {5}{2}} \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right )}{\sqrt {10} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}\right )-\log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.216 (sec), leaf count = 44
\[ \left \{ y \left ( x \right ) ={\frac {\sqrt {10}}{5\,x}\tan \left ( {\it RootOf} \left ( \sqrt {10}\ln \left ( {\frac {4\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2} \left ( \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+1 \right ) }{5\,{x}^{2}}} \right ) +2\,\sqrt {10}{\it \_C1}+2\,{\it \_Z} \right ) \right ) } \right \} \]