\[ (2 x-1) y''(x)-(3 x-4) y'(x)+(x-3) y(x)=0 \] ✓ Mathematica : cpu = 0.100317 (sec), leaf count = 78
\[\left \{\left \{y(x)\to 2^{5/8} c_1 e^{x-\frac {1}{2}}-\frac {2^{3/8} c_2 e^{\frac {x}{2}-\frac {1}{4}}}{\sqrt [4]{2 x-1}}+\frac {c_2 e^{x-\frac {1}{2}} \Gamma \left (\frac {3}{4},\frac {1}{4} (2 x-1)\right )}{\sqrt [8]{2}}\right \}\right \}\]
✓ Maple : cpu = 0.217 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={1{{\rm e}^{{\frac {x}{2}}}} \left ( {{\sl U}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C2}+{{\sl M}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C1} \right ) {\frac {1}{\sqrt [4]{2\,x-1}}}} \right \} \]