\[ (2 x-1) y''(x)-(3 x-4) y'(x)+(x-3) y(x)=0 \] ✓ Mathematica : cpu = 0.095681 (sec), leaf count = 92
\[\left \{\left \{y(x)\to 2^{5/8} c_1 e^{x-\frac {1}{2}}+\frac {c_2 e^{\frac {x}{2}-\frac {1}{2}} \left (\sqrt {2} e^{x/2} \sqrt [4]{2 x-1} \Gamma \left (\frac {3}{4},\frac {1}{4} (2 x-1)\right )-2 \sqrt [4]{e}\right )}{2^{5/8} \sqrt [4]{2 x-1}}\right \}\right \}\] ✓ Maple : cpu = 0.237 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={1{{\rm e}^{{\frac {x}{2}}}} \left ( {{\sl U}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C2}+{{\sl M}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}}\right )}{\it \_C1} \right ) {\frac {1}{\sqrt [4]{2\,x-1}}}} \right \} \]