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) = L-¹ e-³8 (4s + 2) 82 +1 {² {} = help (formulas) e -38 (4s + 2) s²+1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the inverse Laplace transform ƒ(t) = L−¹ {F(s)} of the function F(s) :
You may use h(t) for the Heaviside step function.
f(t) = L
е
-1
¹ {e- = 0
-38 (4s + 2)
s² + 1
:}
help (formulas)
-3s
e
³5 (4s + 2)
s² + 1
Transcribed Image Text:Find the inverse Laplace transform ƒ(t) = L−¹ {F(s)} of the function F(s) : You may use h(t) for the Heaviside step function. f(t) = L е -1 ¹ {e- = 0 -38 (4s + 2) s² + 1 :} help (formulas) -3s e ³5 (4s + 2) s² + 1
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