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3)The mathematical model of a dynamic system is defined by x +4x' + 4x = 2e-t. a) Find the general solution of the homogeneous

3)The mathematical model of a dynamic system is defined by x" +4x' + 4x = 2e-t. a) Find the general solution of the homogeneous equation with initial conditions x(0) = = 1 and x'(0) = 0 b) Find a particular solution Xp of the equation c) Find the total system response an in figure, obtain

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