\[ y'(x)=\frac {y(x) \left (y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} x^{\frac {2}{\log (x)+1}+2}+y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log ^2(x) x^{\frac {2}{\log (x)+1}+2}+2 y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log (x) x^{\frac {2}{\log (x)+1}+2}-e^{\frac {2 \log ^2(x)}{\log (x)+1}} x^{\frac {2}{\log (x)+1}+2}-e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log (x) x^{\frac {2}{\log (x)+1}+2}-1\right )}{x (\log (x)+1)} \] ✓ Mathematica : cpu = 1.17251 (sec), leaf count = 28
\[\left \{\left \{y(x)\to \frac {1}{\left (1+c_1 e^{\frac {x^4}{4}}\right ) (\log (x)+1)}\right \}\right \}\] ✓ Maple : cpu = 0.148 (sec), leaf count = 79
\[y \relax (x ) = \frac {{\mathrm e}^{-\frac {x^{4}}{4}}}{\left (\ln \relax (x )+1\right ) \left (x^{-\frac {2 \ln \relax (x )}{\ln \relax (x )+1}} \left (\ln \relax (x )+1\right ) {\mathrm e}^{\frac {\left (-4 \ln \relax (x )-4\right ) \ln \left (\ln \relax (x )+1\right )-x^{4} \ln \relax (x )-x^{4}+8 \ln \relax (x )^{2}}{4 \ln \relax (x )+4}}+c_{1}\right )}\]