2.701   ODE No. 701

\[ y'(x)=\frac {x^4+x^4 \log (x)-2 x^2 y(x)-2 x^2 y(x) \log (x)+y(x)^2+y(x)^2 \log (x)+2 e^x x-2 x-\log (x)-1}{e^x-1} \] Mathematica : cpu = 1.77961 (sec), leaf count = 88


\[\left \{\left \{y(x)\to \frac {\exp \left (\int _1^x\frac {2 (\log (K[5])+1)}{-1+e^{K[5]}}dK[5]\right )}{-\int _1^x\frac {\exp \left (\int _1^{K[6]}\frac {2 (\log (K[5])+1)}{-1+e^{K[5]}}dK[5]\right ) (\log (K[6])+1)}{-1+e^{K[6]}}dK[6]+c_1}+x^2+1\right \}\right \}\] Maple : cpu = 9.357 (sec), leaf count = 71


\[y \relax (x ) = \frac {-x^{2} {\mathrm e}^{\int \frac {2 \ln \relax (x )+2}{{\mathrm e}^{x}-1}d x}+c_{1} x^{2}+{\mathrm e}^{\int \frac {2 \ln \relax (x )+2}{{\mathrm e}^{x}-1}d x}+c_{1}}{-{\mathrm e}^{\int \frac {2 \ln \relax (x )+2}{{\mathrm e}^{x}-1}d x}+c_{1}}\]