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InverseLaplaceTransform[(E^(-3 s) (Sqrt[s^2 - 6 s + 10] + s))/(s^2 - 6 s + 10), s, t]
InverseLaplaceTransform[(E^(-3 s) (Sqrt[s^2 - 6 s + 10] + s))/(s^2 - 6 s + 10), s, t]
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