\[ \left (x^2+3 x+4\right ) y''(x)+\left (x^2+x+1\right ) y'(x)+(-2 x-3) y(x)=0 \] ✓ Mathematica : cpu = 0.0516655 (sec), leaf count = 23
\[\left \{\left \{y(x)\to c_2 \left (x^2+x+3\right )+c_1 e^{-x}\right \}\right \}\] ✓ Maple : cpu = 0.036 (sec), leaf count = 19
\[y \relax (x ) = c_{1} {\mathrm e}^{-x}+c_{2} \left (x^{2}+x +3\right )\]