\[ \left (x^3+1\right ) x y'(x)+x^2 y''(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0542464 (sec), leaf count = 54
DSolve[-y[x] + x*(1 + x^3)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{3} c_1 \operatorname {Hypergeometric1F1}\left (-\frac {1}{3},\frac {1}{3},-\frac {x^3}{3}\right )}{x}+\frac {c_2 x \operatorname {Hypergeometric1F1}\left (\frac {1}{3},\frac {5}{3},-\frac {x^3}{3}\right )}{\sqrt [3]{3}}\right \}\right \}\] ✓ Maple : cpu = 0.062 (sec), leaf count = 53
dsolve(x^2*diff(diff(y(x),x),x)+(x^3+1)*x*diff(y(x),x)-y(x)=0,y(x))
\[y \left (x \right ) = \left (c_{1} \operatorname {BesselI}\left (-\frac {1}{6}, \frac {x^{3}}{6}\right )+c_{1} \operatorname {BesselI}\left (\frac {5}{6}, \frac {x^{3}}{6}\right )-c_{2} \left (-\operatorname {BesselK}\left (\frac {5}{6}, \frac {x^{3}}{6}\right )+\operatorname {BesselK}\left (\frac {1}{6}, \frac {x^{3}}{6}\right )\right )\right ) {\mathrm e}^{-\frac {x^{3}}{6}} x^{\frac {3}{2}}\]