Electronics and Communication Engineering - Signals and Systems - Discussion
Discussion Forum : Signals and Systems - Section 7 (Q.No. 42)
42.
which is the Laplace transform of x(t) = -e2t ∪(t) ⊕ t ∪(t)?
Discussion:
1 comments Page 1 of 1.
Swagath... said:
1 decade ago
u(t)-->0 to infinite.
e^2t u(t)*t u(t).
[
t u(t)=d[u(t)]/dt.
=> u(t)=1/s.
=>t u(t)=1/s^2.
]
[
e^2t u(t)=1/(s-2).
=>-e^2t u(t)=-1/(s-2).
]
Then,
-e^2t u(t)*t u(t) = 1/s^2 *-1/s-2.
= -1/s^2(s-2).
e^2t u(t)*t u(t).
[
t u(t)=d[u(t)]/dt.
=> u(t)=1/s.
=>t u(t)=1/s^2.
]
[
e^2t u(t)=1/(s-2).
=>-e^2t u(t)=-1/(s-2).
]
Then,
-e^2t u(t)*t u(t) = 1/s^2 *-1/s-2.
= -1/s^2(s-2).
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