D1.24 Find the complete response for t > 0 of each of the following systems with the indicated input and initial conditions. Identify the zero-state and zero-input response components and the forced and natural response components. (a) 4 T(s) = s+3 r(t) = u(t) y(0~) = -2 Ans. - fe-3;1- je-3*; – 2e-3; $; - fe-3 10 T(s) = s+4 r(t) = 8(1) y(0") = 0 Ans. 10e-*;B 10е 4"%;B 0; 0; 10е-4

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1.24

plz provide answer for part a and b only but plz provide accurate and complete detail asap

D1.24 Find the complete response for t > 0 of each of the following systems with
the indicated input and initial conditions. Identify the zero-state and zero-input
response components and the forced and natural response components.
(a)
4
T(s) =
s+3
r(t) = u(t)
y(0-) = -2
Ans. - fe-31; - te-3; – 2e-3*; 4; - fe-3
(b)
10
T(s)
s+4
r(t) = 8 (t)
y(0") = 0
Ans. 10e-4; 10е-4%;B 0; 0; 10е-4
(c)
s - 5
T(s) =
52 -
+ 3s +2
r(t) = u(t)
y(0-) = -3
y(0") = 4
Ans. -+ 4e- -{e-2"; –{ - že-2" + 6e='; –2e-' – e-24;
-: 4e- - {e-
-2r
Transcribed Image Text:D1.24 Find the complete response for t > 0 of each of the following systems with the indicated input and initial conditions. Identify the zero-state and zero-input response components and the forced and natural response components. (a) 4 T(s) = s+3 r(t) = u(t) y(0-) = -2 Ans. - fe-31; - te-3; – 2e-3*; 4; - fe-3 (b) 10 T(s) s+4 r(t) = 8 (t) y(0") = 0 Ans. 10e-4; 10е-4%;B 0; 0; 10е-4 (c) s - 5 T(s) = 52 - + 3s +2 r(t) = u(t) y(0-) = -3 y(0") = 4 Ans. -+ 4e- -{e-2"; –{ - že-2" + 6e='; –2e-' – e-24; -: 4e- - {e- -2r
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