\[ x \left (x^2+1\right ) y''(x)+2 \left (x^2-1\right ) y'(x)-2 x y(x)=0 \] ✓ Mathematica : cpu = 0.0163646 (sec), leaf count = 32
DSolve[-2*x*y[x] + 2*(-1 + x^2)*Derivative[1][y][x] + x*(1 + x^2)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {c_2 x^3}{3 \left (x^2+1\right )}\right \}\right \}\] ✓ Maple : cpu = 0.014 (sec), leaf count = 19
dsolve(x*(x^2+1)*diff(diff(y(x),x),x)+2*(x^2-1)*diff(y(x),x)-2*x*y(x)=0,y(x))
\[y \left (x \right ) = \frac {x^{3} c_{2}+c_{1}}{x^{2}+1}\]