\[ y''(x)=\frac {x y(x)}{x^3+1}-\frac {\left (x^3-1\right ) y'(x)}{x \left (x^3+1\right )} \] ✓ Mathematica : cpu = 0.257534 (sec), leaf count = 51
\[\left \{\left \{y(x)\to \frac {1}{2} c_2 \sqrt [3]{x^3+1} x^2 \, _2F_1\left (\frac {2}{3},\frac {4}{3};\frac {5}{3};-x^3\right )+c_1 \sqrt [3]{x^3+1}\right \}\right \}\] ✓ Maple : cpu = 0.364 (sec), leaf count = 30
\[ \left \{ y \left ( x \right ) =\sqrt [3]{{x}^{3}+1} \left ( {\mbox {$_2$F$_1$}({\frac {2}{3}},{\frac {4}{3}};\,{\frac {5}{3}};\,-{x}^{3})}{\it \_C1}\,{x}^{2}+{\it \_C2} \right ) \right \} \]