Inverse Laplace Transform, Sect 7.4#35

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inverse laplace transform of ln((s^2+9)/(s^2+1)),

, inverse laplace transform with completing the square, inverse laplace transform with factoring,
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Well the problem is, since the Laplace Transform for cos(t)/t doesn't exist I don't think the solution is valid, you should apply the definition of inverse of Laplace Transform in integral form

justkarl
Автор

in case anyone wants to try you get a pretty nice result if you factor the polynomials with complex numbers (s+3i)·(s-3i) so that you get ln(s+3i) + ln(s-3i) +... then do the inverse laplacian and the result can be nicely converted into cos

ayylmao