Solve the following using the Laplace transform approach.\\ $\mathcal{L}\left(m\ddot{x} + kx\right) = \frac{1}{9}\left(e^{-3t} + 3t - 1\right)$
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L{mx + x} = L{0} Using the linearity property of the Laplace transform, we can split the left side of the equation into two separate terms. L{mx} + L{x} = L{0} Now, let's use the properties of the Laplace transform to simplify each term. The Laplace transform Show more…
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