What's the correct way to go about computing the Inverse Laplace transform of this? −...

unecewelpGGi

unecewelpGGi

Answered

2022-11-25

What's the correct way to go about computing the Inverse Laplace transform of this?
2 s + 1 ( s 2 + 2 s + 5 )
I Completed the square on the bottom but what do you do now?
2 s + 1 ( s + 1 ) 2 + 4

Answer & Explanation

Dangelo Cain

Dangelo Cain

Expert

2022-11-26Added 8 answers

Hints:
the inverse Laplace Transforms of the two forms are:
a ( s b ) 2 + a 2 = e b x sin a x
s b ( s b ) 2 + a 2 = e b x cos a x
Can you use those two forms and get a result of:
e t ( 3 2 sin 2 t 2 cos 2 t )

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