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!
Thanks for clearing up that its not the product though.
To others having some trouble with this topic,
YouTube - Lec 19 | MIT 18.03 Differential Equations, Spring 2006
I found this video quite helpful.