a) What is the transfer function of a system whose input and output are related by the following differential equation? d'y 3. +2y =x+ dt dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
a) What is the transfer function of a system whose input and output are
related by the following differential equation?
d'y , dy
+3
+ 2y
dt
b) The impulse response of a certain system is the sinusoidal signal sin t.
Determine the system transfer function and differential equation.
c) The input, x, and the output, y, of a system are related by the
differential equation:
d'y
-10을+21y-7x +3뜨
dt
dt
dt
Show that the system transfer function
3s +7
G(s):
(s+7)(s +3)
d) The impulse response of a control system is an exponentially decaying
sine wave below; find the system transfer function and the differential
equation relating output to input.
e- " sin(&)
Transcribed Image Text:a) What is the transfer function of a system whose input and output are related by the following differential equation? d'y , dy +3 + 2y dt b) The impulse response of a certain system is the sinusoidal signal sin t. Determine the system transfer function and differential equation. c) The input, x, and the output, y, of a system are related by the differential equation: d'y -10을+21y-7x +3뜨 dt dt dt Show that the system transfer function 3s +7 G(s): (s+7)(s +3) d) The impulse response of a control system is an exponentially decaying sine wave below; find the system transfer function and the differential equation relating output to input. e- " sin(&)
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