inverse laplace transform of s 3 </msup> (

Carlie Fernandez

Carlie Fernandez

Answered question

2022-05-21

inverse laplace transform of s 3 ( s 2 + 4 ) 2

Answer & Explanation

ketHideniw7

ketHideniw7

Beginner2022-05-22Added 6 answers

Hint:
Notice that
s 3 ( s 2 + 4 ) 2 = s ( s 2 + 4 ) 4 s ( s 2 + 4 ) 2 = s s 2 + 4 4 s ( s 2 + 4 ) 2
Also notice L { sin ( 2 t ) } = 2 s 2 + 4 and d d s ( 2 s 2 + 4 ) = 4 s s 2 + 4 . Then use the fact that
L { t f ( t ) } = d F ( s ) d s
where F ( s ) = L { f ( t ) }

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