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solve the question completely Condsider the ODE d2 dt2 x (t) + 7 it I (t) + 12 z (t) = F(t) where the forcing

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solve the question completely

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Condsider the ODE d2 dt2 x (t) + 7 it I (t) + 12 z (t) = F(t) where the forcing function is given by the Fourier series F (t) = co+ En ] on cos (n t), with co = 5, c = 7, ... Assuming a particular solution of the form Ip (t) = ag+ _ ] (an cos (nt) + bn sin (n t)) find and enter the exact values of an and bn requested below. by =

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