An LTIC (Linear Time Invariant Causal) system is specified by the equation (6D2 + 4D +4) y(t) = Dx(t) ,

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

b) Find y0(t), the zero-input component of the response y(t) for t ≥ 0, if the initial conditions are y0 (0) = 2 and ẏ0 (0) = −5.

c) Repeat the process in MATLAB and attach the code.

d) Model the differential equation in Simulink and check the output for a step input.

Answer rating: 100% (QA)

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