Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 + t² sin 4t
Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]² 2. f(t) = V1+ sin t + (6t)13 + t² sin 4t
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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Question
![Find the Laplace transform of:
1. f(t) = e(-4t)[sin(2t) – cos(2t)]?
2. f(t) = v1+ sin t + (6t)'13 + t? sin 4t
Find the inverse transform of the given functions:
10s²+5s+4
1. F(s) =
%3D
(s3-6s2+11s-6)(s³)
2. F(s) =
5s+3
6s
8
-9-
-
(5s2+4s+1)
s2+7
9
Evaluate using Laplace Transform:
f(t) = .
tsin3 3t
dt
e-3t
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a88221c-365c-47ec-98d8-547af2b4a68f%2Fb69a0b35-c413-481a-83d9-c22dab775d6c%2Fn257y4l_processed.png&w=3840&q=75)
Transcribed Image Text:Find the Laplace transform of:
1. f(t) = e(-4t)[sin(2t) – cos(2t)]?
2. f(t) = v1+ sin t + (6t)'13 + t? sin 4t
Find the inverse transform of the given functions:
10s²+5s+4
1. F(s) =
%3D
(s3-6s2+11s-6)(s³)
2. F(s) =
5s+3
6s
8
-9-
-
(5s2+4s+1)
s2+7
9
Evaluate using Laplace Transform:
f(t) = .
tsin3 3t
dt
e-3t
%3D
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