What is the impulse response?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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QUESTION 4
Consider a system model given by
d²x (t) dx (t)
+3.
dt²
dt
x (0) = 0
dx (1)
dt
O
O
t=0
What is the impulse response?
-21
e
-t
- e
2e-¹
-e
= 1
- e
1
--e
2
1
+ -e
2
-2¹ +e-¹
+1
-1
¹+e-21
+ 2x(t) =f(t)
2
2
Transcribed Image Text:QUESTION 4 Consider a system model given by d²x (t) dx (t) +3. dt² dt x (0) = 0 dx (1) dt O O t=0 What is the impulse response? -21 e -t - e 2e-¹ -e = 1 - e 1 --e 2 1 + -e 2 -2¹ +e-¹ +1 -1 ¹+e-21 + 2x(t) =f(t) 2 2
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