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Find the inverse Laplace transforms of the following functions: (i) (2s - 3)/(s^2 - 2s + 5) (ii) s/(4s^2 + 12s + 5) (iii) (s + 3)/(4s^2 + 4s + 9)

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Find the inverse Laplace transforms of the following functions:

(i) (2s - 3)/(s2 - 2s + 5)

(ii) s/(4s2 + 12s + 5)

(iii) (s + 3)/(4s2 + 4s + 9)

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Now, s2 + 3s + 5/4 = (s2 + 2.3/2.s + 9/2) + 5/4 - 9/4

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