14. A system is described by the differential equation dy(1) +2y(t) = e"u(t), y(0) = 1. The transfer dt function of the system and its impulse response are given respectively as 1 A. H(s)=- (s+2)(s+1)*°>-1, h(i) =C,e"u(t)+C,e*u(t) 1 ‚6 >-1, h(t) =e*u(t) (s+1)* B. H(s) = 1 ‚0 >-2, h(t)=e²u(t) (s+2)' C. H(s) = D. H(s) doesn't exist

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14. A system is described by the differential
dy(1)
+2y(t) = e"u(t), y(0) =1. The transfer
dt
equation
function of the system and its impulse response are given respectively as
1
=
(s+2)(s+
,0>-1,
h(t) = C,e"u(t)+C, e"u(t)
В. Н($) 3D
1
‚o >-1, h(t)= e*u(t)
(s+1)'
C. H(s)=
(++2).0>-2, h() =e*u()
D. H(s) doesn't exist
Transcribed Image Text:14. A system is described by the differential dy(1) +2y(t) = e"u(t), y(0) =1. The transfer dt equation function of the system and its impulse response are given respectively as 1 = (s+2)(s+ ,0>-1, h(t) = C,e"u(t)+C, e"u(t) В. Н($) 3D 1 ‚o >-1, h(t)= e*u(t) (s+1)' C. H(s)= (++2).0>-2, h() =e*u() D. H(s) doesn't exist
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