\[ y''(x)=\frac {\left (2 x^2-1\right ) y'(x)}{x^3}-\frac {2 y(x)}{x^4} \] ✓ Mathematica : cpu = 0.252775 (sec), leaf count = 108
\[\left \{\left \{y(x)\to \frac {c_2 \left (-5 \sqrt {2 \pi } x^2 \text {erfi}\left (\frac {1}{\sqrt {2} x}\right )+\sqrt {2 \pi } \text {erfi}\left (\frac {1}{\sqrt {2} x}\right )+4 e^{\frac {1}{2 x^2}} x^5+8 e^{\frac {1}{2 x^2}} x^3-2 e^{\frac {1}{2 x^2}} x\right )}{12 x^2}+c_1 \left (1-\frac {1}{5 x^2}\right )\right \}\right \}\] ✓ Maple : cpu = 0.776 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( {\it \_C2}\,{\mbox {$_1$F$_1$}(-{\frac {5}{2}};\,-{\frac {1}{2}};\,{\frac {1}{2\,{x}^{2}}})}{x}^{5}+5\,{\it \_C1}\,{x}^{2}-{\it \_C1} \right ) } \right \} \]