\[ y'(x)=\frac {x^3 y(x)^3+6 x^2 y(x)^2+14 x y(x)+2 x+12}{x^2 (x y(x)+x+2)} \] ✓ Mathematica : cpu = 0.170054 (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 = 0.038 (sec), leaf count = 63
\[y \relax (x ) = \frac {-2 \sqrt {c_{1}-2 x}+x +2}{x \left (\sqrt {c_{1}-2 x}-1\right )}\]