Question

Perform the inverse Laplace transform of the following function. Please state any pairs or properties used

5 85 10 + V, 6) = 10 (1-4*** 5 5² (s +4545.45)

Vo(s) =10^4(1-e^(-0.00000001s))*(85/s^2 + 10^5/s^2*(s+4545.45)

Answer 1

Vors) = 100 (1-e -(0X10%) Learn los 32/5 +4545.45) r] let okox10 9 - A 4546.45 =B + V; («) = 104 (1-0-As) les 105 52/5 +B) ) s² +105 - ('[u,te) )' = 104 [1'( ne-asloce SFS+B) = 104 di -11-AS X85 As x 105 S 3 (6+B) - As $3/5+B) 2.) *'" Les soins J-1 LE ) -474 x 105 2² (18) Eroty!" 8st {"" [17,1 od t' n 7) n! L'les] "P): 1951. ast {"[sce*] = 86(+4 )altva) til'le af pcs) = ult-a) I'[ps 2 85 (t +A) uLt+A) in flt-a) 2 105 ' ' [ SOM ] S²E3+B) at 8² (S+B) cat et fringa) Bt -Bt e dt P'litsin, ] {""[4.400) = 5.9 kces de

-BT [ é et la é - ) -B -B - Bt ) rlleng] Sot е at 3 = -1 B -35 e -B +). -it I t w 10 1 (nr 1 le -1) t B S 1 left-) - 2 I'l Post 10 I [ece S² (STB) 10 -AS е SCHB) Alt +A) ㅗ Le BP at "livos I-(tta (ETA) Julta) ult-) flt -) } *36"/24)7 form Eur 6 6, 6, ②, (11), (11) (W) @ 4, we get E'[1,01] =104 [ est + 10[ 5.164-1)-1) - 85 (tan)uet va ) -105 i fa Cerkt *) - ) -*)] ult+) where she A- 10x10 B = 4545.45