(1 point) Consider the following initial value problem:
$y'' - 5y' - 24y = \sin(4t)$
$y(0) = -2$, $y'(0) = 7$
Using Y for the Laplace transform of $y(t)$, i.e., $Y = \mathcal{L}\{y(t)\}$,
find the equation you get by taking the Laplace transform of the differential equation and solve for