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Inverse laplace of [(1/s^2)-(48/s^5)]

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\mathcal L^(-1)_t\left\{\frac1{s^2}-(48)/(s^5)\right\}=\mathcal L^(-1)_t\left\{(1!)/(s^2)\right\}-2\mathcal L^(-1)_t\left\{(4!)/(s^5)\right\}=t-2t^4

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