following equations, find the system transfer functions: (a) d²y dt2 + 7y = 6r dr Ans. 6/ (s? + 3s +7) (b) d³y +6- dr d?y d²r + 4y = -5- dr2 dt Ans. (-5s2 + 8s) / (s³ + 6s² + 2s + 4) (c) y(t) = 8r(t – 3) Ans. 8e-3 (d) dxi = -3x1 + x2 +4r dt dx2 = -2x1 -r di y = x1 - 2x2 Ans. (6s +21)/(s² + 3s +2)
following equations, find the system transfer functions: (a) d²y dt2 + 7y = 6r dr Ans. 6/ (s? + 3s +7) (b) d³y +6- dr d?y d²r + 4y = -5- dr2 dt Ans. (-5s2 + 8s) / (s³ + 6s² + 2s + 4) (c) y(t) = 8r(t – 3) Ans. 8e-3 (d) dxi = -3x1 + x2 +4r dt dx2 = -2x1 -r di y = x1 - 2x2 Ans. (6s +21)/(s² + 3s +2)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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plz provide step by step answer for question 1.21 asap
![D1.21 For systems with input r(t) and output y(t) that are described by the
following equations, find the system transfer functions:
(a)
。,ル
d²y
dy
+7y = 6r
di
dt2
Ans. 6/ (s? + 3s + 7)
(b)
d³y
2 +4y = -5
dy
d²r
dr
+8
dr?
dr?
dt
Ans. (-5s² + 8s) / (s³ + 6s² + 2s +4)
y(t) = 8r(t – 3)
Ans. 8e-3
(d)
dxi
= -3x1 + x2 +4r
dt
dx2
= -2x1 -r
dt
y= X1 - 2x2
Ans. (6s +21)/(s² + 3s + 2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc812df14-d853-4ecf-b04a-3a0f54708e96%2F4e4f9f7c-edf0-4664-b8a0-66696d4b964f%2Fohzmt7s_processed.png&w=3840&q=75)
Transcribed Image Text:D1.21 For systems with input r(t) and output y(t) that are described by the
following equations, find the system transfer functions:
(a)
。,ル
d²y
dy
+7y = 6r
di
dt2
Ans. 6/ (s? + 3s + 7)
(b)
d³y
2 +4y = -5
dy
d²r
dr
+8
dr?
dr?
dt
Ans. (-5s² + 8s) / (s³ + 6s² + 2s +4)
y(t) = 8r(t – 3)
Ans. 8e-3
(d)
dxi
= -3x1 + x2 +4r
dt
dx2
= -2x1 -r
dt
y= X1 - 2x2
Ans. (6s +21)/(s² + 3s + 2)
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