Question: Why is the linear system that models the arrangement in Problem 52 homogeneous? Change the problem statement as simply as possible to keep the same

Why is the linear system that models the arrangement in Problem 52 homogeneous? Change the problem statement as simply as possible to keep the same matrix of coefficients A in the system for the new problem
Why is the linear system that models the arrangement in

x' = Ax+f(t), where f(t) =

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