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1. The problem statement, all variables and given/known data

Find the inverse laplace transform of [tex]\frac{e^{-2s} }{s^2 + s - 2}[/tex]

2. Relevant equations

3. The attempt at a solution

I'm able to do about half of the problem

using partial fractions, I've found

[tex]\frac{e^{-2s}}{3(s+1)}+\frac{e^{-2s}}{3(s-2)}[/tex]

I can find the inverse Laplace transform of the latter part of that expression [tex]1/3u_2(t) e^{t-2}[/tex] unfortunately, I don't know how I can modify the first part so that it's shifted by -2. Anyone know what I should do?

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# Homework Help: Laplace transform

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