\[ -7 x^2+(3 x+2) (y(x)-2 x-1) y'(x)+x y(x)-y(x)^2-9 x-3=0 \] ✓ Mathematica : cpu = 14.8155 (sec), leaf count = 586
\[\left \{\left \{y(x)\to \frac {x \left (\sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}+12\right )+\left (-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8\right ){}^{2/3}+9 x^2+4}{2 \sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}}\right \},\left \{y(x)\to \frac {1}{72} \left (-\frac {18 i \left (\sqrt {3}-i\right ) (3 x+2)^2}{\sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}}+18 i \left (\sqrt {3}+i\right ) \sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}+36 x\right )\right \},\left \{y(x)\to \frac {1}{72} \left (\frac {18 i \left (\sqrt {3}+i\right ) (3 x+2)^2}{\sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}}-18 \left (1+i \sqrt {3}\right ) \sqrt [3]{-2 e^{2 c_1} (3 x+2)+2 \sqrt {e^{2 c_1} (3 x+2)^2 \left (e^{2 c_1}-(3 x+2)^2\right )}+27 x^3+54 x^2+36 x+8}+36 x\right )\right \}\right \}\]
✓ Maple : cpu = 0.222 (sec), leaf count = 517
\[ \left \{ y \left ( x \right ) =-{\frac {1}{3}}+{\frac {3\,x+2}{6} \left ( 7\, \left ( -1/4\,\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}-9/4\,{\frac { \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}{\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}}-3/2\, \left ( 3\,x+2 \right ) {\it \_C1}+i/2\sqrt {3} \left ( 1/2\,\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}-9/2\,{\frac { \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}{\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}} \right ) \right ) ^{2}-1 \right ) \left ( -{\frac {1}{4}\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}-{\frac {9\, \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}{4}{\frac {1}{\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}}}-{\frac { \left ( 9\,x+6 \right ) {\it \_C1}}{2}}+{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{2}\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}-{\frac {9\, \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}{2}{\frac {1}{\sqrt [3]{2\, \left ( 3\,x+2 \right ) {\it \_C1}-27\, \left ( 3\,x+2 \right ) ^{3}{{\it \_C1}}^{3}+2\,\sqrt {-27\, \left ( 3\,x+2 \right ) ^{4}{{\it \_C1}}^{4}+ \left ( 3\,x+2 \right ) ^{2}{{\it \_C1}}^{2}}}}}} \right ) \right ) ^{-2}} \right \} \]