\[ \left (x^2+x+1\right ) y'(x)+\left (x^2+3 x+4\right ) y''(x)-(2 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0565727 (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 = 0.056 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-x}}+{\it \_C2}\, \left ( {x}^{2}+x+3 \right ) \right \} \]