The question and answer is attached though I need some help understanding the following:
1) When finding the laplace transform of the function, how do you know which order to do it in? For example, I could do it the order given in the answer or I could transform this way:
First, I transform u(t) to 1/s
Then I transform to
Hence, multiplying the two transforms I get,
1/s . (w)/(s+a)^2 + w^2
Which is different from the given answer, so does the order matter and if so, how do u decide which order to do it in?
2) I think the solution is wrong because when completing the square i got rather than what was given. Is it possible the answer is wrong?
Thanks for your time!