Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16
Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16
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
You may use h(t) for the Heaviside step function.
L^(-1){e^(3s)(1-4s)/(s^(2)+16)}
Transcribed Image Text:-1
Find the inverse Laplace transform f(t) = £¯¹ {F(s)}
{F(s)} of the function F(s)
=
e
-3s (1 – 4s)
s² + 16
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