Determine the steady periodic solution of the given equation

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Reference no: EM131012886

In a mass-spring system with friction and external forcing, the position x of the mass is governed by the differential equation x'' + 2x' + 10x = 2 cos (2t) + 4 sin (2t).

Determine the steady periodic solution of this equation, and express it in the form x(t) = C cos (ωt - α) where C and ω are positive and α is in the range [0, 2π).

Reference no: EM131012886

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