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).
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).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed5788d2-a0b4-4eb1-998c-a4248e13736e%2F1cf834b4-7288-4c33-9361-093371f8b222%2Fbgc23bt.jpeg&w=3840&q=75)
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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