\[ -(x+1) y'(x)+x y''(x)-2 (x-1) y(x)=0 \] ✓ Mathematica : cpu = 0.0226495 (sec), leaf count = 30
\[\left \{\left \{y(x)\to c_1 e^{2 x}-\frac {1}{9} c_2 e^{-x} (3 x+1)\right \}\right \}\] ✓ Maple : cpu = 0.053 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{2\,x}}+{\it \_C2}\,{{\rm e}^{-x}} \left ( 3\,x+1 \right ) \right \} \]