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Image Shapes Tools Clipboard 100 400 В00 200 500 0 700 600 2. Aoystem is deseribed by the following diflerential equation: dx(t) where x(t) is the input to the dt d'y) dr system and y(t) is the output from the oystem. What will be the transfer dy(t) +6y(t) x(t) +3 +5) dt funetion of the dystem!

Image Shapes Tools Clipboard 100 400 В00 200 500 0 700 600 2. Aoystem is deseribed by the following diflerential equation: dx(t) where x(t) is the input to the dt d'y) dr system and y(t) is the output from the oystem. What will be the transfer dy(t) +6y(t) x(t) +3 +5) dt funetion of the dystem!

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Image Shapes Tools Clipboard 100 400 В00 200 500 0 700 600 2. Aoystem is deseribed by the following diflerential equation: dx(t) where x(t) is the input to the dt d'y) dr system and y(t) is the output from the oystem. What will be the transfer dy(t) +6y(t) x(t) +3 +5) dt funetion of the dystem!
Transcribed Image Text:Image Shapes Tools Clipboard 100 400 В00 200 500 0 700 600 2. Aoystem is deseribed by the following diflerential equation: dx(t) where x(t) is the input to the dt d'y) dr system and y(t) is the output from the oystem. What will be the transfer dy(t) +6y(t) x(t) +3 +5) dt funetion of the dystem!
Expert Solution
Step 1

Taking laplace transform:

d y(t) dy(t) dx(t) 5. 6 y (t)= x(f)3 dt dt Let us say that the initial conditions are zero, thus By taking Laplace Transform s'Y(s)+5sY(s)6Y(s) = X(s)+3sX(S) r.(s2 +5s +6)Y(s) = (1+3s)X(s) Y(s) or (13s) X(s) s+5s+6 2
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