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

$8$yy$^(\text{'})=$x

we must find two separate integrals:

$\backslash$int dy$=$

and

$\backslash$int $,$dx$=$

Solving for y we get two solutions, one positive y$=$

and one negative y$=$

$($Note: you must simplify all arbitrary constants down to one constant k$)$

Find the particular solution satisfying the initial condition

y$($x$)=,$y$(0)=7.$