Find the inverse laplace of this function: F(s)=(s+8)/(s^2+4s+5)

Tessa Peters 2022-10-28 Answered
Find the inverse laplace of this function: F ( s ) = s + 8 s 2 + 4 s + 5
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Answers (2)

Kristin Myers
Answered 2022-10-29 Author has 12 answers
Hint. You may observe that
L ( e a t cos ω t ) = s + a ( s + a ) 2 + ω 2 ,
L ( e a t sin ω t ) = ω ( s + a ) 2 + ω 2 .
Then apply it to
F ( s ) = s + 2 ( s + 2 ) 2 + 1 2 + 6 × 1 ( s + 2 ) 2 + 1 2 .
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Lara Cortez
Answered 2022-10-30 Author has 3 answers
Divide it as s+2 and 6.
L ( e a t cos ω t ) = s + a ( s + a ) 2 + ω 2 .
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