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  3. d^2 (d + 1)y(t)= (d^2 +2)f(t) a.) find the charact

D^2 (D + 1)y(t)= (D^2 +2)f(t) a.) Find the characteristic polynomial, characteristic equation, characteristic roots, and characteristic...

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Advance Math

D^2 (D + 1)y(t)= (D^2 +2)f(t)

a.) Find the characteristic polynomial, characteristic equation,characteristic roots, and characteristic modes of the system.

b.) Find y_o(t), the zero-input component of response y(t) fort>=0, if the the initial conditions are   y_0 (0)= 4, y_0' (0) = 3, and y_0'' (0) = -1

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