Find the inverse Laplace transform f(t) = ??q { F(s) } of the function F(s) = 8s / (s + 25) - 7 / (s + 1). f(t) = ??q { 8s / (s + 25) - 7 / (s + 1) } =
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We have: F(s) = \frac{s^2 + 25}{s^2 + 1} \cdot \frac{8s}{8s} Now, we can find the inverse Laplace transform of F(s): f(t) = \mathcal{L}^{-1}\{F(s)\} = \mathcal{L}^{-1}\left\{\frac{s^2 + 25}{s^2 + 1} \cdot \frac{8s}{8s}\right\} Since the inverse Laplace Show more…
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