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In: Mechanical Engineering

Given the I/O equation 2ẏ + 10y = 3u(t) Sketch the response y(t) for a step...

Given the I/O equation
2ẏ + 10y = 3u(t) Sketch the response y(t) for a step input u(t) = 6U(t) and the initial condition y(0) = −2.

Using the Laplace Transform. Find the time constant to improve your sketch of the response.

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