\[ x^2 y''(x)-2 (x+1) x y'(x)+2 (x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.0154194 (sec), leaf count = 21
\[\left \{\left \{y(x)\to x \left (\frac {1}{2} c_2 e^{2 x}+c_1\right )\right \}\right \}\]
✓ Maple : cpu = 0.031 (sec), leaf count = 14
\[ \left \{ y \left ( x \right ) =x \left ( {{\rm e}^{2\,x}}{\it \_C2}+{\it \_C1} \right ) \right \} \]