Find the inverse Laplace transform of (8)/((S+2)^2(S+2))+(S)/((S+2)^2)+(5)/((S+2)^2)

spremani0r

spremani0r

Answered question

2022-09-11

Find the inverse Laplace transform of 8 ( S + 2 ) 2 ( S + 2 ) + S ( S + 2 ) 2 + 5 ( S + 2 ) 2

Answer & Explanation

Isaiah Haynes

Isaiah Haynes

Beginner2022-09-12Added 16 answers

For the last term, 5 ( S + 2 ) 2 5 t e 2 t
For the second to last term, S ( S + 2 ) 2 = 1 ( S + 2 ) 2 ( S + 2 ) 2 e 2 t 2 t e 2 t
For the first term, 8 ( S + 2 ) 3 4 t 2 e 2 t
Add these three terms up to get your answer, e 2 t ( 4 t 2 + 3 t + 1 )

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