Consider the complex function f(s)=(1)/(l/c sqrt((s(s+r_0))) where r_0,l,c are positive real number and s is a complex variable.

Jensen Mclean 2022-09-06 Answered
Consider the complex function f ( s ) = 1 l c ( s ( s + r 0 ) where r 0 , l , c are positive real number and s is a complex variable. How I can obtain the inverse Laplace transformation of this function?
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Answers (1)

Jordan Owen
Answered 2022-09-07 Author has 7 answers
I have found the following formula about my question.
L 1 { 1 s + a s + b } = e ( a + b ) t 2 I 0 ( a b 2 t )
where I 0 ( x ) is modified Bessel function.
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