\[ \left (x^2+x-1\right ) y'(x)+(x+1)^2 y''(x)-(x+2) y(x)=0 \] ✓ Mathematica : cpu = 39.5672 (sec), leaf count = 45
\[\left \{\left \{y(x)\to e^{-x} \left (c_2 \int _1^x e^{\frac {K[1]^2+K[1]-1}{K[1]+1}} (K[1]+1) \, dK[1]+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.25 (sec), leaf count = 53
\[ \left \{ y \left ( x \right ) = \left ( 1+x \right ) \left ( {\it \_C1}\,{{\rm e}^{-x}}{\it HeunD} \left ( 4,4,-8,12,{\frac {x}{x+2}} \right ) +{\it \_C2}\,{\it HeunD} \left ( -4,4,-8,12,{\frac {x}{x+2}} \right ) {{\rm e}^{{\frac {x-1}{2\,x+2}}}} \right ) \right \} \]