Find the Inverse Laplace transform of \(\frac{S}{{{S^4} + {S^2} + 1}}\)
1
\(\frac{1}{{\sqrt 2 }}\sin \frac{{\sqrt 2 }}{3}\left[ {{e^t} - {e^{ - t}}} \right]\)
2
\(\frac{1}{{\sqrt 3 }}\sin \left( {\frac{{\sqrt 3 }}{2}t} \right)\left[ {{e^{ - t/2}} - {e^{t/2}}} \right]\)
3
\(\frac{1}{{\sqrt 3 }}\cos \frac{{\sqrt 2 }}{4}\left[ {{e^{ - t}} + {e^t}} \right]\)
4
\(\frac{1}{{\sqrt 3 }}\sin \frac{{\sqrt 3 }}{2}t\left[ {{e^{t/2}} - {e^{ - t/2}}} \right]\)