*해설

<문제 해설>
F(s) = (5s+3)/s(S+1) = A/S + B/(S+1)
A = (5s+3)/(S+1)ls=0 =3/1 = 3, B = (5s+3)/sls=-1 = -2/-1 = 2
F(s) = (3/S)+ (2/(S+1)) 역라플라스 변환 F(s) = 3+2e^-t