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Linearization: Linearize the nonlinear term in the differential equation below about x = e using the first two terms of the Taylor series expansion.

Linearization: Linearize the nonlinear term in the differential equation below about x = e using the first two terms of the Taylor series expansion. x + 3x + lnx = f(t), where f(t) = 12.873 = 4e+2 (Note: e = 2.7183) What is the time constant of the linearized system? What is the expected steady-state value of the linearized system?

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