\[ \left (x^2+x-1\right ) y'(x)+(x+1)^2 y''(x)+(-x-2) y(x)=0 \] ✓ Mathematica : cpu = 0.294084 (sec), leaf count = 88
\[\left \{\left \{y(x)\to c_2 e^{-x} \int _1^x\exp \left (-\frac {K[1]^2}{K[1]+1}-\frac {K[1]}{K[1]+1}+2 K[1]-\frac {1}{K[1]+1}\right ) (K[1]+1)^{\frac {K[1]}{K[1]+1}+\frac {1}{K[1]+1}}dK[1]+c_1 e^{-x}\right \}\right \}\] ✓ Maple : cpu = 0.273 (sec), leaf count = 53
\[\left \{y \left (x \right ) = \left (x +1\right ) \left (c_{1} \mathit {HD}\left (4, 4, -8, 12, \frac {x}{x +2}\right ) {\mathrm e}^{-x}+c_{2} \mathit {HD}\left (-4, 4, -8, 12, \frac {x}{x +2}\right ) {\mathrm e}^{\frac {x -1}{2 x +2}}\right )\right \}\]