\[ x y''(x)-(3 x-2) y'(x)-(2 x-3) y(x)=0 \] ✓ Mathematica : cpu = 0.0686772 (sec), leaf count = 63
\[\left \{\left \{y(x)\to e^{-\frac {1}{2} \left (\sqrt {17}-3\right ) x} \left (c_2 \, _1F_1\left (1-\frac {6}{\sqrt {17}};2;\sqrt {17} x\right )+c_1 U\left (1-\frac {6}{\sqrt {17}},2,\sqrt {17} x\right )\right )\right \}\right \}\]
✓ Maple : cpu = 2.3 (sec), leaf count = 47
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {x \left ( -3+\sqrt {17} \right ) }{2}}}} \left ( {{\sl M}\left (1-{\frac {6\,\sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{\it \_C1}+{{\sl U}\left (1-{\frac {6\,\sqrt {17}}{17}},\,2,\,\sqrt {17}x\right )}{\it \_C2} \right ) \right \} \]