How to compute this inverse Laplace transform ? ccL^(−1){(1)/(s(exp(s)+1))}

daniko883y 2022-09-06 Answered
How to compute this inverse Laplace transform ?
L 1 { 1 s ( exp ( s ) + 1 ) }
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Answers (1)

Zayne Wagner
Answered 2022-09-07 Author has 5 answers
Find the Square wave function s q w ( x ) = ( 1 ) f l o o r ( x ) to find out it is a periodic function which is obviously piecewise and by using the L.T. rules we can see that
L { s q w ( x ) } = 1 s tanh ( s / 2 ) = e s 1 s ( e s + 1 )
So since
L { 1 } = 1 s
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