$(1$ point$)$ Consider the following initial value problem:

$y^{\text{'}\text{'}}-5y^{\text{'}}-24y=sin(4t),y(0)=-2,y^{\text{'}}(0)=7$

Using $Y$ for the Laplace transform of $y(t),$ i$.$e$.,Y=L\{y(t)\},$

find the equation you get by taking the Laplace transform of the differential equation and solve for