engineering recuitment ISRO Scientist Civil Mock Test Engineering Mathematics Transform Theory Laplace Transform
Find the inverse laplace transform of \(\frac{1}{{{{\left( {{\rm{s}} - 2} \right)}^2} + {9^2}}}{\rm{\;is}}\)
1
\(\frac{1}{4}{\rm{t\;Sin\;}}9{\rm{t}}\)
2
\({{\rm{e}}^{2{\rm{t}}}}\cos 9{\rm{t}}\)
3
\(\frac{1}{9}{{\rm{e}}^{ - 2{\rm{t}}}}{\rm{\;Sin\;}}9{\rm{t}}\)
4
\(\frac{1}{9}{{\rm{e}}^{2{\rm{t}}}}{\rm{\;Sin\;}}9{\rm{t}}\)