(s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] - [3*cos(sqrt(5)t)*e^{ [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(4t)] - [3*cos(sqrt(5)t)*e^(- [(13*sqrt(5)/5)*cos(sqrt(5)t)*e^(-4t)] - [3*sin(sqrt(5)t)*e^M (E [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^{(4t)] - [3*cos(sqrt(5)t)*e^{« F [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^-4t)] - [3*cos(sqrt(5)t)*e^{

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 inverse transform of the equation below.
V(s) = (1-3s) / (s^2+8s+21)
A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^(-4t)]
B [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] - [3*cos(sqrt(5)t)*e^(-4t)]
C [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(4t)] - [3*cos(sqrt(5)t)*e^(-4t)]
[(13*sqrt(5)/5)*cos(sqrt(5)t)*e^(-4t)] - [3*sin(sqrt(5)t)*e^(-4t)]
E [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(4t)] - [3*cos(sqrt(5)t)*e^(4t)]
[(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] - [3*cos(sqrt(5)t)*e^(4t)]
Transcribed Image Text:Find the inverse transform of the equation below. V(s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^(-4t)] B [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] - [3*cos(sqrt(5)t)*e^(-4t)] C [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(4t)] - [3*cos(sqrt(5)t)*e^(-4t)] [(13*sqrt(5)/5)*cos(sqrt(5)t)*e^(-4t)] - [3*sin(sqrt(5)t)*e^(-4t)] E [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(4t)] - [3*cos(sqrt(5)t)*e^(4t)] [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] - [3*cos(sqrt(5)t)*e^(4t)]
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