$(1$ point$)$ To solve the separable differential equation

$\frac{dy}{dx}+ycos(x)=6cos(x)$

we must find two separate integrals:

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}q,dy=$

and

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}dx=$

Solving for $y$ we get that $y=$

$($you must use k as your constant$)$ and find the particular solution satisfying the initial condition

$y(0)=-8$

$y(x)=$

$$