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I'm having a hard time understanding this problem. Please help me to solve this problem

Evaluate $\mathcal L^{-1}\left\{5 + \frac s{s^2+9}\right\}$

https://i.ibb.co/TK3jbqK/Screenshot-2022-06-28-014247.png

user170231
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1 Answers1

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It's literally the definitions of inverse Laplace. No calculations are needed. The answer is

\begin{align} 5 \delta (t) + \cos (3t) \end{align}