Laplace transform of t cos (at) is

1
\(\frac{{{s^2} + {a^2}}}{{{{\left( {{s^2} - {a^2}} \right)}^2}}}\)
2
\(\frac{s}{{{{\left( {{s^2} - {a^2}} \right)}^2}}}\)
3
\(\frac{{{s^2} - {a^2}}}{{{{\left( {{s^2} + {a^2}} \right)}^2}}}\)
4
\(\frac{s}{{{{\left( {{s^2} + {a^2}} \right)}^2}}}\)

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