\[ \boxed { 2\,x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) -4\, \left ( x+\nu -1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( 2\,x+6\,\nu -5 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( 1-2\,\nu \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.148519 (sec), leaf count = 112 \[ \left \{\left \{y(x)\to \frac {c_3 e^x x \Gamma \left (\frac {5}{2}-3 \nu \right ) \left (\frac {2 \, _1\tilde {F}_1\left (\frac {3}{2}-3 \nu ;1-2 \nu ;-x\right )}{3 (2 \nu -1) x}+\frac {2}{3 x \Gamma (2-2 \nu )}\right )}{\Gamma \left (\frac {3}{2}-\nu \right )}+c_2 e^x G_{2,3}^{2,1}\left (x\left | \begin {array}{c} 1,3 \nu -\frac {1}{2} \\ 1,2 \nu ,0 \\ \end {array} \right .\right )+c_1 e^x\right \}\right \} \]
Maple: cpu = 0.218 (sec), leaf count = 37 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{x}}+{\it \_C2}\,{ {\rm e}^{{\frac {x}{2}}}}{x}^{\nu }{{\sl I}_{\nu }\left ({\frac {x}{2}} \right )}+{\it \_C3}\,{{\rm e}^{{\frac {x}{2}}}}{x}^{\nu }{{\sl K}_{\nu }\left ({\frac {x}{2}}\right )} \right \} \]