\[ (x+1) x^2 y''(x)-(2 x+1) x y'(x)+(2 x+1) y(x)=0 \] ✓ Mathematica : cpu = 0.0185286 (sec), leaf count = 18
DSolve[(1 + 2*x)*y[x] - x*(1 + 2*x)*Derivative[1][y][x] + x^2*(1 + x)*Derivative[2][y][x] == 0,y[x],x]
\[\{\{y(x)\to c_1 x+c_2 x (x+\log (x))\}\}\] ✓ Maple : cpu = 0.018 (sec), leaf count = 15
dsolve(x^2*(1+x)*diff(diff(y(x),x),x)-x*(2*x+1)*diff(y(x),x)+(2*x+1)*y(x)=0,y(x))
\[y \left (x \right ) = x \left (c_{2} \ln \left (x \right )+x c_{2}+c_{1}\right )\]