Hey everyone, I am trying to solve this challenge question on finding the inverse laplace transform of(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(s)=\frac{5se^{-3s} - e^{-3s}}{s^{2}-4s+17}[/tex]

Heres my reasoning: I feel that I should split up that denominator into two linear factors, however its that odd 17 that is very troublesome. In addition, I attempted to factor out an [tex]e^{-3s}[/tex] in the numerator and try to proceed from there--- but I tried to get help from the hw section but it seems like not as many posts come in there, and Id think avid diff eq experts hang out here more, so any help would be greatly appreciated in solving this problem!! THANKS!!!!!

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# A challenge Question on Inverse Laplace

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