ODE No. 992

\[ y'(x)=\frac {y(x)}{x}-F(x) \left (-x^3-7 x y(x)^2\right ) \]

✓ Mathematica : cpu = 0.0912212 (sec), leaf count = 43

DSolve[Derivative[1][y][x] == y[x]/x - F[x]*(-x^3 - 7*x*y[x]^2),y[x],x]

\[\left \{\left \{y(x)\to \frac {x \tan \left (\sqrt {7} \int _1^xF(K[1]) K[1]^2dK[1]+\sqrt {7} c_1\right )}{\sqrt {7}}\right \}\right \}\]

✓ Maple : cpu = 0.069 (sec), leaf count = 25

dsolve(diff(y(x),x) = -F(x)*(-7*x*y(x)^2-x^3)+y(x)/x,y(x))

\[y \left (x \right ) = \frac {\tan \left (\left (\int F \left (x \right ) x^{2}d x +c_{1} \right ) \sqrt {7}\right ) x \sqrt {7}}{7}\]