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25. Consider the linear system dY 1 -1 dt Y. 3 (a) Show that the function te2t Y(t) = -(t+1)e2t is a solution to the

25. Consider the linear system dY 1 -1 dt Y. 3 (a) Show that the function te2t Y(t) = -(t+1)e2t is a solution to the differential equation. (b) Solve the initial-value problem dY 1 -1 O dt Y, Y(0) = 3 N

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