\[ y'(x)=\frac {y(x)}{x (y(x) F(x y(x))-1)} \] ✓ Mathematica : cpu = 19.8811 (sec), leaf count = 74
\[\text {Solve}\left [c_1=\int _1^{y(x)} \left (-\int _1^x \frac {F'(K[1] K[2])}{F(K[1] K[2])^2} \, dK[1]-\frac {1}{K[2] F(x K[2])}+1\right ) \, dK[2]+\int _1^x -\frac {1}{K[1] F(y(x) K[1])} \, dK[1],y(x)\right ]\]
✓ Maple : cpu = 0.145 (sec), leaf count = 26
\[ \left \{ -y \left ( x \right ) +\int ^{xy \left ( x \right ) }\!{\frac {1}{F \left ( {\it \_a} \right ) {\it \_a}}}{d{\it \_a}}-{\it \_C1}=0 \right \} \]