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

DSolve[-1 + x*y[x] + 3*x^2*Derivative[1][y][x] + x^3*Derivative[2][y][x] == 0,y[x],x]
 

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

dsolve(x^3*diff(diff(y(x),x),x)+3*x^2*diff(y(x),x)+x*y(x)-1=0,y(x))
 

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