Laplace and Series Question

I need help on two webwork questions.

The first is a Laplace

http://img16.imageshack.us/img16/670/webwork1.th.jpg

For this is transformed the equation and ended up with a linear differential eqn of the form:

Y'(s) +Y(s) (sē-6)/-2s= (8+7sē)/-2sē

Im not sure if this is the correct method. I'm also stuck after this step as I cannot find a suitable integrating factor.

Secondly,

I completed most of this question

I am just unsure as to what

" The closed form of solution a" is referring too.

http://img20.imageshack.us/img20/7262/45883123.jpg

Thanks !