Q.1 Find Laplace Transform of the given functions: 1. f(t) = (0, 0≤t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve both qs separately
Transcribed Image Text:Q.1 Find Laplace Transform of the given functions:
1,
(0, 0≤t<T
1. f(t) =
2. f(t) = 2,
1, ≤1<∞0
3. f(t) = teat sin(bt)
Q.2 Find Inverse Laplace Transform of the given functions:
2s 5/3
2/3
1. F(s) =
+
2.
F(s)=
s² +1 s² +4
4.
F(s) =
3. F(s) =
=
5. F(s) =
s²+1
8s²-4s +12
s(s² + 4)
40 s
(s+1)(s+2)(s²-9)
0 < t < 1
1≤t <2
2≤1<∞0
2s +2
s²+2s +5
1.
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