\[ -7 x^2+(3 x+2) (y(x)-2 x-1) y'(x)+x y(x)-y(x)^2-9 x-3=0 \] ✓ Mathematica : cpu = 8.77461 (sec), leaf count = 693
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}{6 \sqrt [3]{2}}-\frac {-81 x^2-108 x-36}{3\ 2^{2/3} \sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}+\frac {x}{2}\right \},\left \{y(x)\to -\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}{12 \sqrt [3]{2}}+\frac {\left (1+i \sqrt {3}\right ) \left (-81 x^2-108 x-36\right )}{6\ 2^{2/3} \sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}+\frac {x}{2}\right \},\left \{y(x)\to -\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}{12 \sqrt [3]{2}}+\frac {\left (1-i \sqrt {3}\right ) \left (-81 x^2-108 x-36\right )}{6\ 2^{2/3} \sqrt [3]{1458 x^3+2916 x^2+\sqrt {4 \left (-81 x^2-108 x-36\right )^3+\left (1458 x^3+2916 x^2+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}\right ){}^2}+1944 x-324 e^{2 c_1} x+432-216 e^{2 c_1}}}+\frac {x}{2}\right \}\right \}\] ✓ Maple : cpu = 0.201 (sec), leaf count = 517
\[y \relax (x ) = -\frac {1}{3}+\frac {\left (3 x +2\right ) \left (7 \left (-\frac {\left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}{4}-\frac {9 \left (3 x +2\right )^{2} c_{1}^{2}}{4 \left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}-\frac {3 \left (3 x +2\right ) c_{1}}{2}+\frac {i \sqrt {3}\, \left (\frac {\left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}{2}-\frac {9 \left (3 x +2\right )^{2} c_{1}^{2}}{2 \left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}\right )}{2}\right )^{2}-1\right )}{6 \left (-\frac {\left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}{4}-\frac {9 \left (3 x +2\right )^{2} c_{1}^{2}}{4 \left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}-\frac {3 \left (3 x +2\right ) c_{1}}{2}+\frac {i \sqrt {3}\, \left (\frac {\left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}{2}-\frac {9 \left (3 x +2\right )^{2} c_{1}^{2}}{2 \left (2 \left (3 x +2\right ) c_{1}-27 \left (3 x +2\right )^{3} c_{1}^{3}+2 \sqrt {-27 \left (3 x +2\right )^{4} c_{1}^{4}+\left (3 x +2\right )^{2} c_{1}^{2}}\right )^{\frac {1}{3}}}\right )}{2}\right )^{2}}\]