Inverse Laplace transform of \(\frac{s}{{{s^2} + {a^2}}}\) is

1
\(\frac{{{e^{iat}} + {e^{ - iat}}}}{2}\)
2
\(\frac{{{e^{iat}} - {e^{ - iat}}}}{2}\)
3
\(\frac{{{e^{iat}} }}{2}\)
4
\(\frac{{{e^{-iat}} }}{2}\)
5
None of the above mentioned

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