What is the inverse laplace transform of (s^3−a^2s)/((s^2+a^2)^2)

Charlie Conner 2022-10-08 Answered
What is the inverse laplace transform of s 3 a 2 s ( s 2 + a 2 ) 2
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Answers (1)

vakleraarrc
Answered 2022-10-09 Author has 6 answers
Partial fraction expansion
s a 2 + s 2 2 a 2 s ( a 2 + s 2 ) 2
Notice that
d d s a 2 a 2 + s 2 = 2 a 2 s ( a 2 + s 2 ) 2
Use the transform table and the derivative rule to find the result as
cos ( a t ) a t sin ( a t )
This is a somewhat difficult problem I think
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