\[ \left (-\nu ^2+x^2-2 x+\frac {1}{4}\right ) y'(x)+\left (\nu ^2-\frac {1}{4}\right ) y(x)+x^2 y^{(3)}(x)-2 \left (x^2-x\right ) y''(x)=0 \] ✓ Mathematica : cpu = 0.209698 (sec), leaf count = 80
\[\left \{\left \{y(x)\to e^x \left (\frac {c_3 x^{\nu +\frac {1}{2}} \Gamma \left (\nu +\frac {1}{2}\right ) \, _1\tilde {F}_1\left (\nu +\frac {1}{2};2 \nu +1;-x\right )}{\Gamma \left (\frac {3}{2}-\nu \right )}+c_2 G_{2,3}^{2,1}\left (x\left |\begin {array}{c} 1,0 \\ \frac {1}{2}-\nu ,\nu +\frac {1}{2},0 \\\end {array}\right .\right )+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.258 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={{\rm e}^{x}}{\it \_C1}+{\it \_C2}\,{{\rm e}^{{\frac {x}{2}}}}\sqrt {x}{{\sl I}_{\nu }\left ({\frac {x}{2}}\right )}+{\it \_C3}\,{{\rm e}^{{\frac {x}{2}}}}\sqrt {x}{{\sl K}_{\nu }\left ({\frac {x}{2}}\right )} \right \} \]