Give the inverse Laplace transform of 4 4 S F(s) = + 2e-48 + 3e-4s (s+3)²
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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Q8
Transcribed Image Text:d)
f(x) =
=
e) f(x)=
f)
[4x + 4,
2x+12+ 3(x-4) e¹2-3x, 4≤x
8x +4,
0≤x≤4
6x +4+3e-12-3x,
4≤ x
0≤x < 4
None of the above.
Transcribed Image Text:Question 8
Give the inverse Laplace transform of
F(s) =
8x + 4,
a) f(x) =
6x +4+3(x-4) e¹2-3, 4≤x
[4x + 4,
b)
f(x) =
0≤x < 4
4≤ x
2x+12+ 3xe¹2-3x,
[ 4x + 4,
c)
f(x) =
2x
-
-4+3xe-3,
4
= +
4
S
2e
48
82
0 < x < 4
0<x< 4
4≤ x
3e-48
(s + 3)²
4/6
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