a) What is the inverse Laplace transform of F(s) = 1/(s+1)3 . (b) Consider an initial value problem of the form x′′′ + 3

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a) What is the inverse Laplace transform of F(s) = 1/(s+1)3 .(b) Consider an initial value problem of the formx′′′ + 3x′′ + 3x′ + x = f(t), x(0) = x′(0) = x′′(0) = 0where f is a bounded continuous function. Then Show thatx(t) = 1/2∫ t 0 (τ^2e^(−τ) f(t − τ)dτ).