\[ 2 \left (x^2+1\right ) y''(x)^2+2 y'(x) \left (y'(x)+x\right )-x \left (4 y'(x)+x\right ) y''(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0079407 (sec), leaf count = 32
\[\left \{\left \{y(x)\to -\frac {1}{2} \sqrt {c_2-c_1{}^2} x^2+c_1 x+c_2\right \}\right \}\] ✓ Maple : cpu = 1.013 (sec), leaf count = 59
\[y \relax (x ) = \frac {\left (c_{1}+\frac {\arcsinh \relax (x )}{4}\right ) x \sqrt {x^{2}+1}}{2}-\frac {3 x^{2}}{16}+c_{1}^{2}+\frac {c_{1} \arcsinh \relax (x )}{2}+\frac {\arcsinh \relax (x )^{2}}{16}\]