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Use Laplace transformations to solve the following ODE for x(t): x¨(t) + 2x(t) = u?(t) + 3u(t) u(t)...

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Advance Math

Use Laplace transformations to solve the following ODE forx(t):

x¨(t) + 2x(t) = u?(t) + 3u(t)

u(t) = e^?t

Initial conditions

x(0) = 1, x?(0) = 0, u(0) = 0

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