Question

s S+2 s+3 Answer L-1{F(s)) = 2n(t)-8e-Hu(t) + 7e-3t

I was looking for the Inverse Laplace Transform for the problem above and I got this answer, but without the step function, u(t). I don't understand why the step function, u(t) was added to the answer. Can someone explain why it's part of the answer? Can you also tell me, for future problems, how would I know to put u(t)? Like in what kind of problems and what to look out for?

Edit: The last part of the answer should be +7e^(-3t)u(t), just forgot to add the u(t).

Answer 1

G jven deta 오L L'LFCS) unit Step fnutiom The Unit Step Fundion Defi hiton_ Tanit step furthon, UltJJA , defined a St 0 6 e- LCf(t-aj utt.aj eas FCs)

S-a Let FCS)-S-a So thet at-ic e L .. Second shi Similer'y ー2 S-C3 -2t -3t