Question(1 point)
Consider the initial value problem $$y^{\prime}+2 y=8 t, \quad y(0)=6$$ a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of $y(t)$ by $Y(s)$. Do not move any terms from one side of the equation to the other (until you get to part (b) below).
$\square$ help (formulas) b. Solve your equation for $Y(s)$. $$Y(\delta)=\mathcal{L}\{y(t)\}=$$ $\square$ c. Take the inverse Laplace transform of both sides of the previous equation to solve for $y(t)$. $$y(t)=\square \text { (D) }$$