The differential equation

$\frac{dy}{dx}=cos(x)\frac{y^2+9y+20}{6y+29}$

has an implicit general solution of the form $F(x,y)=K,$ where $K$ is an arbitrary constant.

In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form

$F(x,y)=G(x)+H(y)=K$

Find such a solution and then give the related functions requested.

$F(x,y)=G(x)+H(y)=$