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  3. 3 the following differential equation could be a model for...

Question: 3 the following differential equation could be a model for...

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3) The following differential equation could be a model for the vibrations of a mechanical system x()+12 )+32x()F(O dt2 where, F(t): 32. Assuming all initial conditions are zero, solve the ODE and obtain x(t) using Laplace transforms and partial fractions.
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