Consider the initial value problem

1. 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).

$=$ help (formulas)

2. Solve your equation for $Y(s)$.

$\displaystyle Y(s) = {\mathcal L}\left\lbrace y(t) \right\rbrace =$

3. Take the inverse Laplace transform of both sides of the previous equation to solve for $y(t)$.

$y(t) =$