\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^2 e^{-\frac {y(x)}{x}}+x e^{-\frac {y(x)}{x}}+x e^{-\frac {y(x)}{x}} y(x)+e^{-\frac {y(x)}{x}} y(x)+x\right )}{x (x+1)} \] ✓ Mathematica : cpu = 0.95621 (sec), leaf count = 23
\[\left \{\left \{y(x)\to -x \log \left (-\frac {\log (x+1)-c_1}{x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.283 (sec), leaf count = 20
\[y \relax (x ) = -\ln \left (\frac {-\ln \left (1+x \right )+c_{1}}{x}\right ) x\]