\[ \left (x^4+2 x^2+2 x+1\right ) x^2 y^{(3)}(x)-\left (2 x^6+3 x^4-6 x^2-6 x-1\right ) y''(x)+\left (x^6-6 x^3-15 x^2-12 x-2\right ) y'(x)+\left (x^4+4 x^3+8 x^2+6 x+1\right ) y(x)=0 \] ✓ Mathematica : cpu = 130.222 (sec), leaf count = 27
\[\left \{\left \{y(x)\to c_1 e^x+c_2 e^x x+c_3 e^{\frac {1}{x}}\right \}\right \}\] ✓ Maple : cpu = 0.187 (sec), leaf count = 19
\[y \relax (x ) = c_{2} {\mathrm e}^{\frac {1}{x}}+{\mathrm e}^{x} \left (c_{3} x +c_{1}\right )\]