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Question: use the convolution theorem to find the inverse laplace transform...

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Use the convolution theorem to find the inverse Laplace transform of the following function. (No marks will be awarded if other methods are used.) 7. a) (s-l)(s+2) b) The function x() satisfies the differential equation -21 dl dx dt and the initial conditions x(0)-l,-(0) =-1 Show that the Laplace transform, x(s), of x(t) is given by (s+2)(s2-3s-4) c) Hence determine x() for/>0

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