\[ \left (x^2+6 x y(x)+3\right ) y'(x)+3 y(x)^2+2 x y(x)+2 x=0 \] ✓ Mathematica : cpu = 0.0145516 (sec), leaf count = 106
\[\left \{\left \{y(x)\to -\frac {\sqrt {6 c_1 x-2 x^3+\frac {1}{6} \left (x^2+3\right )^2}}{\sqrt {6} x}-\frac {x^2+3}{6 x}\right \},\left \{y(x)\to \frac {\sqrt {6 c_1 x-2 x^3+\frac {1}{6} \left (x^2+3\right )^2}}{\sqrt {6} x}-\frac {x^2+3}{6 x}\right \}\right \}\] ✓ Maple : cpu = 0.026 (sec), leaf count = 75
\[ \left \{ y \left ( x \right ) ={\frac {1}{6\,x} \left ( -{x}^{2}-3-\sqrt {{x}^{4}-12\,{x}^{3}-12\,{\it \_C1}\,x+6\,{x}^{2}+9} \right ) },y \left ( x \right ) ={\frac {1}{6\,x} \left ( -{x}^{2}-3+\sqrt {{x}^{4}-12\,{x}^{3}-12\,{\it \_C1}\,x+6\,{x}^{2}+9} \right ) } \right \} \]