2.1310   ODE No. 1310

\[ x^3 y''(x)+3 x^2 y'(x)+x y(x)-1=0 \] Mathematica : cpu = 0.008389 (sec), leaf count = 31


\[\left \{\left \{y(x)\to \frac {\log ^2(x)}{2 x}+\frac {c_1}{x}+\frac {c_2 \log (x)}{x}\right \}\right \}\] Maple : cpu = 0.012 (sec), leaf count = 20


\[y \relax (x ) = \frac {c_{1} \ln \relax (x )+\frac {\ln \relax (x )^{2}}{2}+c_{2}}{x}\]