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D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) drz +7y= 6r1 +5r2 – 4 dt dt Ans. T1(1s) = 6/(s² + 3s +7); Tj2(s) = (-4s+5)/(s² + 3s + 7) (b) dyi dr +6 +2yı = 3r dt? dt dr dt di |dyz - 62 = 4: dt Ans. T(8) = (s - 3)/(s² + 6s +2); Tz1(s) = 4s/(s +6) (c) d’y + + +» = dy d²r dt3 dt dr? + 3rı +r2 +7- di? +62 + = 4 drz dt dt Ans. T1(s) = (s³+ 3)/(s³ +7s² +6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D

D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) drz +7y= 6r1 +5r2 – 4 dt dt Ans. T1(1s) = 6/(s² + 3s +7); Tj2(s) = (-4s+5)/(s² + 3s + 7) (b) dyi dr +6 +2yı = 3r dt? dt dr dt di |dyz - 62 = 4: dt Ans. T(8) = (s - 3)/(s² + 6s +2); Tz1(s) = 4s/(s +6) (c) d’y + + +» = dy d²r dt3 dt dr? + 3rı +r2 +7- di? +62 + = 4 drz dt dt Ans. T1(s) = (s³+ 3)/(s³ +7s² +6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D

Intermediate Algebra
Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.5: Solve Systems Of Nonlinear Equations
Problem 11.67TI: Solve the system by graphing: {x=6 (x3 )2+ (y1 )2=9.
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D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) d²y dr? drz +32 +7y = 6rı + 5r2 - 4 dt dt Ans. T1(s) = 6/(s² + 3s + 7); T12(s) = (-4s +5)/(s² + 3s + 7) d²y, dy +6- dt? dr +2yı 3r %3D dt dt dyz + 6y2 = 4 dt dr dt Ans. T1(s) = (s - 3)/(s² +6s +2); T1(s) = 4s/(s +6) %3D ww. (c) d?ri di? di3 dr2 +6- dt + yı = + 3rı +r2 dy2 dr2 + y2 = 4- dr +7 +6 dr3 dt? dt Ans. T1(s) = (s³ + 3)/(s +7s² + 6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D
Transcribed Image Text:D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) d²y dr? drz +32 +7y = 6rı + 5r2 - 4 dt dt Ans. T1(s) = 6/(s² + 3s + 7); T12(s) = (-4s +5)/(s² + 3s + 7) d²y, dy +6- dt? dr +2yı 3r %3D dt dt dyz + 6y2 = 4 dt dr dt Ans. T1(s) = (s - 3)/(s² +6s +2); T1(s) = 4s/(s +6) %3D ww. (c) d?ri di? di3 dr2 +6- dt + yı = + 3rı +r2 dy2 dr2 + y2 = 4- dr +7 +6 dr3 dt? dt Ans. T1(s) = (s³ + 3)/(s +7s² + 6s + 1); T12(s) = 1/(s³ + 7s² + 6s + 1); T21 (s) = 0; T2(s) = 4s/(s³ + 7s² + 6s + 1) %3D
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