2.854   ODE No. 854

\[ y'(x)=\frac {y(x) \left (x^2 \log ^2(y(x))+2 x^2 \log (x) \log (y(x))+x^2 \log ^2(x)+\log (y(x))+\log (x)-1\right )}{x} \] Mathematica : cpu = 0.141734 (sec), leaf count = 24


\[\left \{\left \{y(x)\to \frac {e^{-\frac {3 x}{x^3+3 c_1}}}{x}\right \}\right \}\] Maple : cpu = 0.243 (sec), leaf count = 51


\[y \relax (x ) = x^{-\frac {x^{3}}{x^{3}+3 c_{1}}} x^{-\frac {3 c_{1}}{x^{3}+3 c_{1}}} {\mathrm e}^{-\frac {3 x}{x^{3}+3 c_{1}}}\]