Inverse Laplace transform of F(s)= s/((s+7)(s^2+4)) using convolution theorem

Question : Find Inverse Laplace transform of F(s)= s/((s+7)(s^2+4)) using convolution theorem Solution : To Find Inverse Laplace transform of F(s)= s/((s+7)(s^2+4)) using convolution theoremGiven \[\Rightarrow\ \ F\left(s\right)=\frac{1}{\left(s+7\right)}\frac{s}{(s^2+4)}\] Applying inverse Laplace transeform both side \[\Rightarrow\ \ L^{-1}\left[F\left(s\right)\right]=\ L^{-1}\left[\frac{1}{\left(s+7\right)}\ast\frac{s}{\left(s^2+4\right)}\right]\] We know…

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