\[ x^2 y''(x)-\left (x^2-2 x\right ) y'(x)-(3 x+2) y(x)=0 \] ✓ Mathematica : cpu = 0.0293801 (sec), leaf count = 41
\[\left \{\left \{y(x)\to c_1 e^x x-\frac {c_2 \left (e^x x^3 \text {Ei}(-x)+x^2-x+2\right )}{6 x^2}\right \}\right \}\] ✓ Maple : cpu = 0.056 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={\frac {-{{\rm e}^{x}}{\it Ei} \left ( 1,x \right ) {\it \_C2}\,{x}^{3}+{\it \_C1}\,{x}^{3}{{\rm e}^{x}}+{\it \_C2}\, \left ( {x}^{2}-x+2 \right ) }{{x}^{2}}} \right \} \]