The transient solution of the vibrating system y+2y'+2y = cos 2t, y(0) = 0, y/(0) =...

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The transient solution of the vibrating system y"+2y'+2y = cos 2t, y(0) = 0, y/(0) = 3 %3D is: (a) y = Ciet cos t+ Ce sin t (b) y = Chet cos t+C2et sin - cos 2t + sin 2t (c) y = - cos 2t + sin 2t (d) y = Cie t cos t+ Czet sin t + 2 cos 2t + 4 sin 2t (e) None of the above. The steady-state solution of the vibrating system y" + 4y + 8y =6+ 10e2t, y(0) = 2, y'(0) = 1 is: (a) z = Cie-2t cos t-e sin t (b) z = Che-24 cos t-e-t sin t ++}e2t (c) z = (c) (d) z =+ tet (e) None of the above. The transient solution of the vibrating system y"+2y'+2y = cos 2t, y(0) = 0, y/(0) = 3 %3D is: (a) y = Ciet cos t+ Ce sin t (b) y = Chet cos t+C2et sin - cos 2t + sin 2t (c) y = - cos 2t + sin 2t (d) y = Cie t cos t+ Czet sin t + 2 cos 2t + 4 sin 2t (e) None of the above. The steady-state solution of the vibrating system y" + 4y + 8y =6+ 10e2t, y(0) = 2, y'(0) = 1 is: (a) z = Cie-2t cos t-e sin t (b) z = Che-24 cos t-e-t sin t ++}e2t (c) z = (c) (d) z =+ tet (e) None of the above.

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