Can you answer the following question? The answer is posted below: 10. Consider a system with the differential equation: (a) y"(t) +5y' (t) +6y(t) = x(t) + x' (t) (b) y"(t) +6y' (t) +5y(t)= x(t) + x' (t) Find the transfer function and the frequency response. Also determine the zero-state response when x(t) = 3e-5t u(t).

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Can you answer the following
question? The answer is posted
below:
10. Consider a system with the differential equation:
(a) y"(t) +5y' (t) +6y(t) = x(t) + x' (t)
(b) y"(t) +6y'(t) +5y(t) = x(t) + x' (t)
Find the transfer function and the frequency response. Also determine the
zero-state response when x(t) = 3e-5tu(t).
s+1
H(jw) =
s²+5s+6'
YZSR (t) = (3e-3t - 2e-5t-e-2t)u(t)
10. (a) H(s) =
1+jw
6-w²+j5w'
(b) H(s) = 245, H(jw) =
S+1
$²+6s+5¹
YZSR(t) = 3te-5t u(t)
1+jw
5-w²+j6w'
Transcribed Image Text:Can you answer the following question? The answer is posted below: 10. Consider a system with the differential equation: (a) y"(t) +5y' (t) +6y(t) = x(t) + x' (t) (b) y"(t) +6y'(t) +5y(t) = x(t) + x' (t) Find the transfer function and the frequency response. Also determine the zero-state response when x(t) = 3e-5tu(t). s+1 H(jw) = s²+5s+6' YZSR (t) = (3e-3t - 2e-5t-e-2t)u(t) 10. (a) H(s) = 1+jw 6-w²+j5w' (b) H(s) = 245, H(jw) = S+1 $²+6s+5¹ YZSR(t) = 3te-5t u(t) 1+jw 5-w²+j6w'
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