\[ x^4 y''(x)-x^2 y'(x) \left (y'(x)+x\right )+4 y(x)^2=0 \] ✗ Mathematica : cpu = 300.012 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.113 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\ln \left ( x \right ) +{\it \_C2}-\int ^{{\it \_Z}}\! \left ( {{\rm e}^{{\it \_f}}}{\it \_C1}+4\,{\it \_f}+2 \right ) ^{-1}{d{\it \_f}} \right ) {x}^{2} \right \} \]