Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Consider a system model given by
d²x (1)
dt²
+3- +x(t)=2-
dx (1)
dt
x (0)=0
dx (t)
dt
2-
t=0
What is the impulse response function?
-1/2
-t
e
- e
-1
2e-¹-e-1/2
+ sint
1
= 1
2
e
-1/2
-t
+ sint
-¹-e-1/2
2-e-1
+6
-1/2
-
df (t)
dt
2
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Transcribed Image Text:Consider a system model given by d²x (1) dt² +3- +x(t)=2- dx (1) dt x (0)=0 dx (t) dt 2- t=0 What is the impulse response function? -1/2 -t e - e -1 2e-¹-e-1/2 + sint 1 = 1 2 e -1/2 -t + sint -¹-e-1/2 2-e-1 +6 -1/2 - df (t) dt 2
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