Question

1) Calculate the following: 25 35+1 a) L-1 te-as S+1 S2 +6S+10 IS2+4 S2 +9 b) {-} {{4-9)+ 16-19

I need hlep to complete these questions in details

note in B: laplace inverse of F(s) is f(t).

Answer 1

ginen, Srp 35+1 -ns ol+59tas S2+3 $? 4.4 we now S Laplace Cat to us form ta2 a > Sinat e 4 abt is yult-b) E i sana e-7/25 x3 gt S e-7/25 S2 +32 6+ 25 ereltas te-as (5+3)² +02 I sinst ult-T/2) 2 cosat (2/4-7) hteoJE 3 + e-3€ cajt 447-A} + € 3+ sint () glasat ut) 3 [ay 3t = sin3t Just -1/2) + e 3+ [kust + sint) 4 (t =) Ang

S fis) + 15 - 1) (S-1) Lt I(S) S-12 (s -]+) 15-12 0 17 f(s) +isis (S-12 15-1) 15-12 we know that V PD 40X65ys) Ś 52 v Convulation temat 2. (5+972 Wow Shulle#t) t et t (f 14-) Htet} + et litt Ans