Consider the initial value problem yn_|_ 9y 36, y(0) = 2, y'([}) 0. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transtorm 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) b. Solve your equation for Y (s). Y(s) = L{y()} = c. Take the inverse Laplace transtorm of both sides of the previous equation to solve for y(t). y(t) =