\[ \boxed { x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( 3\,x-2 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( 2\,x-3 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.069009 (sec), leaf count = 76 \[ \left \{\left \{y(x)\to c_2 e^{-\frac {1}{2} \left (\sqrt {17}-3\right ) x} \, _1F_1\left (1-\frac {6}{\sqrt {17}};2;\sqrt {17} x\right )+c_1 e^{-\frac {1}{2} \left (\sqrt {17}-3\right ) x} U\left (1-\frac {6}{\sqrt {17}},2,\sqrt {17} x\right )\right \}\right \} \]
Maple: cpu = 0.140 (sec), leaf count = 55 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl M}\left (1-{\frac {6\, \sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{{\rm e}^{-{\frac {x \left ( -3+\sqrt {17} \right ) }{2}}}}+{\it \_C2}\,{{\sl U}\left (1-{\frac {6\, \sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{{\rm e}^{-{\frac {x \left ( -3+\sqrt {17} \right ) }{2}}}} \right \} \]