\[ -x^2 y'(x) \left (y'(x)+x\right )+x^4 y''(x)+4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.488832 (sec), leaf count = 189
\[\text {Solve}\left [\int _1^{y(x)}\frac {1}{-e^{\frac {K[1]}{x^2}} c_1 x^2+2 x^2+4 K[1]}dK[1]-\int _1^x\left (\frac {K[2] \left (e^{\frac {y(x)}{K[2]^2}} c_1+2 \left (-\frac {y(x)}{K[2]^2}-1\right )\right )}{-e^{\frac {y(x)}{K[2]^2}} c_1 K[2]^2+2 K[2]^2+4 y(x)}+\int _1^{y(x)}-\frac {\frac {2 e^{\frac {K[1]}{K[2]^2}} c_1 K[1]}{K[2]}-2 e^{\frac {K[1]}{K[2]^2}} c_1 K[2]+4 K[2]}{\left (-e^{\frac {K[1]}{K[2]^2}} c_1 K[2]^2+2 K[2]^2+4 K[1]\right ){}^2}dK[1]\right )dK[2]=c_2,y(x)\right ]\] ✓ Maple : cpu = 0.376 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\ln \left ( x \right ) +{\it \_C2}-\int ^{{\it \_Z}}\! \left ( {{\rm e}^{{\it \_f}}}{\it \_C1}+4\,{\it \_f}+2 \right ) ^{-1}{d{\it \_f}} \right ) {x}^{2} \right \} \]