Alright here is the first one
First we need to isolate Y
Factoring and reducing like terms we get
Depending on what theorems you know there are many ways to take the inverse Laplace transform, but lets do partial fractions on the 2nd fraction
(Work not shown)
Putting this into the above and collecting like terms we get
Now taking the inverse transform we get
Try the 2nd one and show us what you have done!!