\[ (2 x-1) y''(x)-(3 x-4) y'(x)+(x-3) y(x)=0 \] ✓ Mathematica : cpu = 0.047766 (sec), leaf count = 52
DSolve[(-3 + x)*y[x] - (-4 + 3*x)*Derivative[1][y][x] + (-1 + 2*x)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to 2^{5/8} c_1 e^{x-\frac {1}{2}}-\frac {c_2 e^{x-\frac {1}{2}} \Gamma \left (-\frac {1}{4},\frac {1}{4} (2 x-1)\right )}{4 \sqrt [8]{2}}\right \}\right \}\] ✓ Maple : cpu = 0.093 (sec), leaf count = 37
dsolve((2*x-1)*diff(diff(y(x),x),x)-(3*x-4)*diff(y(x),x)+(x-3)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {{\mathrm e}^{\frac {x}{2}} \left (\KummerU \left (1, \frac {3}{4}, \frac {x}{2}-\frac {1}{4}\right ) c_{2}+\KummerM \left (1, \frac {3}{4}, \frac {x}{2}-\frac {1}{4}\right ) c_{1}\right )}{\left (2 x -1\right )^{\frac {1}{4}}}\]