\[ \left (2 x^2+1\right ) y'(x)^2+\left (x^2+2 x y(x)+y(x)^2+2\right ) y'(x)+2 y(x)^2+1=0 \] ✓ Mathematica : cpu = 0.017351 (sec), leaf count = 23
\[\left \{\left \{y(x)\to \frac {-c_1 x+c_1{}^2+1}{c_1+x}\right \}\right \}\] ✓ Maple : cpu = 1.358 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) =-3\,x-2\,\sqrt {2\,{x}^{2}+1},y \left ( x \right ) =-3\,x+2\,\sqrt {2\,{x}^{2}+1} \right \} \]