Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) = s²+1 s(s+1)2 · Your answer must contain detailed explanation, calculation as well as logical argumentation leading to the result. If you use mathematical theorem(s)/property(-ies) that you have learned par- ticularly in this unit, clearly state them in your answer.

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