Problem $7.(1$ point$)$

Consider the following initial value problem:

$y^{\text{'}\text{'}}-3y^{\text{'}}-28y=sin(5t),y(0)=3,y^{\text{'}}(0)=6$

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

$Y(s)=$