\[ y'(x)=\frac {x^3 y(x)^3+6 x^2 y(x)^2+14 x y(x)+2 x+12}{x^2 (x y(x)+x+2)} \] ✓ Mathematica : cpu = 0.198384 (sec), leaf count = 76
\[\left \{\left \{y(x)\to -\frac {x+2}{x}+\frac {1}{x^3 \left (\frac {1}{x^3}-\frac {1}{x^3 \sqrt {-2 x+c_1}}\right )}\right \},\left \{y(x)\to -\frac {x+2}{x}+\frac {1}{x^3 \left (\frac {1}{x^3}+\frac {1}{x^3 \sqrt {-2 x+c_1}}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.04 (sec), leaf count = 63
\[\left \{y \left (x \right ) = \frac {-x -2 \sqrt {c_{1}-2 x}-2}{\left (\sqrt {c_{1}-2 x}+1\right ) x}, y \left (x \right ) = \frac {x -2 \sqrt {c_{1}-2 x}+2}{\left (\sqrt {c_{1}-2 x}-1\right ) x}\right \}\]