\[ (x-3) y''(x)-(4 x-9) y'(x)+(3 x-6) y(x)=0 \] ✓ Mathematica : cpu = 0.0563003 (sec), leaf count = 42
DSolve[(-6 + 3*x)*y[x] - (-9 + 4*x)*Derivative[1][y][x] + (-3 + x)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{8} c_2 e^{3 x-9} \left (4 x^3-42 x^2+150 x-183\right )+c_1 e^{x-3}\right \}\right \}\] ✓ Maple : cpu = 0.03 (sec), leaf count = 30
dsolve((x-3)*diff(diff(y(x),x),x)-(4*x-9)*diff(y(x),x)+(3*x-6)*y(x)=0,y(x))
\[y \left (x \right ) = {\mathrm e}^{x} c_{1}+c_{2} {\mathrm e}^{3 x} \left (4 x^{3}-42 x^{2}+150 x -183\right )\]