Suppose (t + 2)y (t-6)y E 5ty + 7y2, 5yı + 8tyz, P(t) = a. This system of linear differential equations can be put in the form = P(t)j + g(t). Determine P(t) and g(t). 3/1 (1) = 0, 3/2 (1) = 2. g(t)= [18] b. Is the system homogeneous or nonhomogeneous? Choose c. Find the largest interval a < t

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