The Laplace transform of the function f(t) = e³-¹(2t - e³t)² is: [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2] +[e^3/(s-5)] [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^3] +[e^3/(s-5)] None of them O [(8e^3)/(s+1)^4] -[(4e^3)/(s-2)^2]+[e^3/(s-5)]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The Laplace transform of the function f(t) = e³-t(2t - e³t)² is:
[(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2] +[e^3/(s-5)]
[(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^3] +[e^3/(s-5)]
None of them
O [(8e^3)/(s+1)^4] -[(4e^3)/(s-2)^2]+[e^3/(s-5)]
Transcribed Image Text:The Laplace transform of the function f(t) = e³-t(2t - e³t)² is: [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2] +[e^3/(s-5)] [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^3] +[e^3/(s-5)] None of them O [(8e^3)/(s+1)^4] -[(4e^3)/(s-2)^2]+[e^3/(s-5)]
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