2.957   ODE No. 957

\[ y'(x)=\frac {y(x) \left (y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} x^{\frac {2}{\log (x)+1}+3}+y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log ^2(x) x^{\frac {2}{\log (x)+1}+3}+2 y(x) e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log (x) x^{\frac {2}{\log (x)+1}+3}-e^{\frac {2 \log ^2(x)}{\log (x)+1}} x^{\frac {2}{\log (x)+1}+3}-e^{\frac {2 \log ^2(x)}{\log (x)+1}} \log (x) x^{\frac {2}{\log (x)+1}+3}-1\right )}{x (\log (x)+1)} \] Mathematica : cpu = 1.1374 (sec), leaf count = 28


\[\left \{\left \{y(x)\to \frac {1}{\left (1+c_1 e^{\frac {x^5}{5}}\right ) (\log (x)+1)}\right \}\right \}\] Maple : cpu = 0.095 (sec), leaf count = 79


\[y \relax (x ) = \frac {{\mathrm e}^{-\frac {x^{5}}{5}}}{\left (\ln \relax (x )+1\right ) \left (x^{-\frac {2 \ln \relax (x )}{\ln \relax (x )+1}} \left (\ln \relax (x )+1\right ) {\mathrm e}^{\frac {\left (-5 \ln \relax (x )-5\right ) \ln \left (\ln \relax (x )+1\right )-x^{5} \ln \relax (x )-x^{5}+10 \ln \relax (x )^{2}}{5 \ln \relax (x )+5}}+c_{1}\right )}\]