Question

12 Question: What is the time response for the following equations: 5 (2 Points) T (5) = ... R (s) is unit step function Enter your answer

Answer 1

2 R(S) 2 unit step. TS) s+.6 5.79 function, 2 In the given question, the input-output trans for function of a system has been giren. input R(B) 2 unit step function L S the system 2 so, to TS)? MIS) R(S) we need to calculate the time response of let outputz y) Po e soste tosta or Y (6) 46) { 5465 19} = RED Y(S) & 6S Y B) 49.4B). or yo) a s(s+ 65+9) Or, -in .82 CS Scanned with CamScanner s(s+3)

let A Yes 1 B st3 f st A ľs S (3+37 (st3) * B3 (S1B) ACS s (5 +63 +9 (5+65 +9) ride, By companiny (A + B)$+(64+ 3B+C) S + 9A a both 1 A 2 ON L 9 so, 9 A a B a A&B. 20, 9 0 or, (2 -6A-3B 6 A +33 +02 2 t 9 2 Scanned with CamScanner CS ws 9

Va 13 inverse So, y(s) = 1/9 st3 by applying both code, the y (4) (+) (3+3)~ Laplace transform time resporrse, Now at -3t 스 bu(+) e q ult) t u (+), e -37 17 61-2*36**+] uc) t So, the time respouse, CS Scagned with CamScanner 3te 3te"34] u(t).