Find the inverse Laplace transform f(t) = L−¹ {F(s)} of the function F(s) You may use h(t) for the Heaviside step function. f(t) = е -1 C-₁ {e=-34 (4 + 2)} L s² + 1 = e −3⁹ (48 + 2) s² + 1 (4 cos (t− 3) + 2 sin(t− 3))u(t−3) help (formulas)
Find the inverse Laplace transform f(t) = L−¹ {F(s)} of the function F(s) You may use h(t) for the Heaviside step function. f(t) = е -1 C-₁ {e=-34 (4 + 2)} L s² + 1 = e −3⁹ (48 + 2) s² + 1 (4 cos (t− 3) + 2 sin(t− 3))u(t−3) help (formulas)
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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Transcribed Image Text:Find the inverse Laplace transform f(t) = L−¹ {F(s)} of the function F(s)
You may use h(t) for the Heaviside step function.
f(t)
=
-38
e
C-1 {=-=12 (4+ + 2)}
=
e
-3⁹ (48 + 2)
s²+1
(4 cos (t− 3) + 2 sin(t− 3))u(t−3) help (formulas)
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