\[ x^2 y''(x)-\left (x^2-2 x\right ) y'(x)+(-3 x-2) y(x)=0 \] ✓ Mathematica : cpu = 0.0328546 (sec), leaf count = 41
DSolve[(-2 - 3*x)*y[x] - (-2*x + x^2)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 e^x x-\frac {c_2 \left (e^x x^3 \text {Ei}(-x)+x^2-x+2\right )}{6 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.033 (sec), leaf count = 37
dsolve(x^2*diff(diff(y(x),x),x)-(x^2-2*x)*diff(y(x),x)-(3*x+2)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {\Ei \left (1, x\right ) {\mathrm e}^{x} c_{2} x^{3}+c_{1} x^{3} {\mathrm e}^{x}-c_{2} \left (x^{2}-x +2\right )}{x^{2}}\]