\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\, \left ( x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]
Mathematica: cpu = 0.049506 (sec), leaf count = 39 \[ \left \{\left \{y(x)\to c_2 G_{1,2}^{2,0}\left (-2 x\left | \begin {array}{c} \frac {1}{2} \\ -1,0 \\ \end {array} \right .\right )+c_1 e^x (I_0(x)-I_1(x))\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{x}} \left ( {{\sl I} _{0}\left (x\right )}-{{\sl I}_{1}\left (x\right )} \right ) +{\it \_C2}\,{ {\rm e}^{x}} \left ( -{{\sl K}_{0}\left (-x\right )}+{{\sl K}_{1}\left (-x \right )} \right ) \right \} \]