Find the inverse Laplace transform of F(s)=(4s)/((s^2+5)^2−4s^2)

Spactapsula2l 2022-09-14 Answered
Find the inverse Laplace transform of F ( s ) = 4 s ( s 2 + 5 ) 2 4 s 2 , but I'm having trouble simplifying this fraction so I'm able to take the Laplace transform.
I simplified the denominator and got s 4 + 6 s 2 + 25, but I'm not sure how that helps me.
I also tried looking at 4 s 2 and ( 2 s ) 2 , but still am stuck.
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Answers (1)

allelog5
Answered 2022-09-15 Author has 19 answers
Hint
4 s ( s 2 + 5 ) 2 4 s 2 = 4 s ( s 2 + 5 + 2 s ) ( s 2 + 5 2 s ) = A s + B s 2 + 5 + 2 s + C s + D s 2 + 5 2 s

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