Problem 1 (20 pts) A dynamic system is described by the following differential equation: $\dot{x}(t) + 8\dot{x}(t) + \frac{12}{x(t)} = f(t)$. Where $f(t)$ is the input and $x(t)$ the output. Linearize the differential equation around the operating point $x(t) = 2$. Write the final answer as a small signal model.
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x(t) = A cos(2t) + B sin(2t) Show more…
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