\[ \boxed { \left ( 2\,x-1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( 3\,x-4 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( x-3 \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.091011 (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 = 0.078 (sec), leaf count = 47 \[ \left \{ y \left ( x \right ) ={{\it \_C1}{{\rm e}^{{\frac {x}{2}}}}{ {\sl M}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4}} \right )}{\frac {1}{\sqrt [4]{2\,x-1}}}}+{{\it \_C2}{{\rm e}^{{\frac {x }{2}}}}{{\sl U}\left (1,\,{\frac {3}{4}},\,{\frac {x}{2}}-{\frac {1}{4} }\right )}{\frac {1}{\sqrt [4]{2\,x-1}}}} \right \} \]