2. The inverse Laplace Transform of the function F(s) = 4s+2 / s²+2s+5 is : (a) e* cos 2t + 2e* sin 2t (b) e† cos 2t – 4et sin 2t (c) 4e† cos 2t + et sin 2t (d) 4et cos 2t – e* sin 2t

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A: Solution by using trigonometric identities and Laplace transform table as follows :

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Q: 1. Find the laplace transform of 2e^(3t) sin 4 t 2. Simplify i²⁹ + i²¹ + i 3. Write in the form a…

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