(a) Find the inverse Laplace transform of the function [Y(s)=frac{3 s^{2}+2 s+2}{(s+2)left(s^{2}+2 s+5ight)}] by using a complete...

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(a) Find the inverse Laplace transform of the function

\[Y(s)=\frac{3 s^{2}+2 s+2}{(s+2)\left(s^{2}+2 s+5ight)}\]

by using a complete partial fraction expansion.

(b) Find the inverse Laplace transform of the same function by using the method of completing the square.

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