Find f (t), the inverse Laplace transform of F(s), if G(s) s(s2 – 4s + 7)' sF(s) – F(s) = %3D - where G(s) L{g(t)} is a cubic polynomial in S. Leave G(s) as an unknown. %3D You may assume that G(0) = 7, G(1) = 8, G(2) = 9, G(-1) = 12. %3D %3D %3D

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