hello everyone
I did the problem from Inverse Laplace

but my answer is different from Alpha
my solution:


by Alpha:
http://www.wolframalpha.com/input/?i=laplace transform (3s-5)/(4s^2 +4s+1)
why is different?
thanks

 

Your algebra is wrong for starters.

2(s +1/2)^2 is not equal to (2s+1)^2

 

You need to add routine sanity checks to your work. You know your denominator started out with a 4s^2 term. Does it keep that term as you progress through your work?