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2 - Suppose Y = Y(t) is national product, C(t) is consumption at time t, and I is fixed investment. Suppose Y = a(C +

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2 - Suppose Y = Y(t) is national product, C(t) is consumption at time t, and I is fixed investment. Suppose Y = a(C + 1 - Y) and C = BY + Co with a > 0 and B > 0. Which of the following is true? a) O The complementary solution is Ce-at b) O The particular solution is Co-1 1+B c) O Stability requires B > 0 d) O The equation is stable provided a > 0 and then Y(t) - (C. + 1)/(1 - B) as t - co

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