\[ y'(x)=\frac {y(x)}{x}-F(x) \left (-x^2-2 x y(x)+y(x)^2\right ) \] ✓ Mathematica : cpu = 0.286434 (sec), leaf count = 77
\[\left \{\left \{y(x)\to \frac {x \left (-\left (\sqrt {2}-1\right ) \exp \left (2 \sqrt {2} \left (\int _1^x K[1] (-F(K[1])) \, dK[1]+c_1\right )\right )+1+\sqrt {2}\right )}{\exp \left (2 \sqrt {2} \left (\int _1^x K[1] (-F(K[1])) \, dK[1]+c_1\right )\right )+1}\right \}\right \}\]
✓ Maple : cpu = 0.047 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\frac {x \left ( \sqrt {2}+2\,\tanh \left ( \left ( {\it \_C1}+\int \!F \left ( x \right ) x\,{\rm d}x \right ) \sqrt {2} \right ) \right ) \sqrt {2}}{2}} \right \} \]