Consider underdamped forced system governed by y′′ +y′ +3y = 4cos(3t). (a) Find the solution satisfying y(0) = 6, y'(0) = 0. (b) Find the solution satisfying y(0) = 0, y'(0) = 6. (Find the solution to the given initial-value problem and identify the steady-state and transient parts.)

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