What is the inverse Laplace transform of sqrt(1+a/s) where a>0?

Karsyn Stafford

Karsyn Stafford

Answered question

2022-09-25

What is the inverse Laplace transform of 1 + a / s where a>0?

Answer & Explanation

Jane Acosta

Jane Acosta

Beginner2022-09-26Added 14 answers

The finally answer uses modified Bessel functions:
L 1 [ 1 + 2 a / s 1 ] ( t ) = a e a t ( I 0 ( a t ) + I 1 ( a t ) )
(easily obtained from the LT of I α ).
Knowing the ILT of 1 , you're done.

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