Solve using Laplace Transformations
1.
2.
I'd greatly appreciate it if someone could assist me in finishing these problems as I'm unsure of what to do.
You have a slight error in the first one
Taking the Laplace transform gives
Now from here you need to use partial fractions on
Each of these should be known transforms so the inverse is
for the 2nd one the first two lines are correct but the third should be
Now use partial fractions to find the inverse transform.