Write the function in terms of unit step functions. Find the Laplace transform of the given function. F(s) = 3/s - 6 exp(-5s)/s 5/s²-5 exp(-s)/s² 3/s + 3 exp(-s)/s 5 + 10 exp(-3s) 3s + 6s² exp(5s) 5/s10 exp(-3s)/s 3 + 3 exp(-5s) 5/s3 exp(-10s)/s 0 No solution 5, f(t) = (³-²5 +23 0≤t<3

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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Write the function in terms of unit step functions. Find the Laplace transform of the given function.
F(s) =
3/s - 6 exp(-5s)/s
5/s² - 5 exp(-s)/s²
3/s + 3 exp(-s)/s
5 + 10 exp(-3s)
3s + 6s² exp(5s)
5/s10 exp(-3s)/s
3 + 3 exp(-5s)
5/s3 exp(-10s)/s
0
No solution
f(t) =
(5,
0 ≤t<3
-5 t23
Transcribed Image Text:Write the function in terms of unit step functions. Find the Laplace transform of the given function. F(s) = 3/s - 6 exp(-5s)/s 5/s² - 5 exp(-s)/s² 3/s + 3 exp(-s)/s 5 + 10 exp(-3s) 3s + 6s² exp(5s) 5/s10 exp(-3s)/s 3 + 3 exp(-5s) 5/s3 exp(-10s)/s 0 No solution f(t) = (5, 0 ≤t<3 -5 t23
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