Let aggregate national income be given by Where C, I and G are consumption, investment and government expenditure. Assume that consumption is given by Investment is given by Y₁ = C₁ + 1₂ +G₁ C₁ = mY₁ 1₁=1+ a(Yt-1-Yt-2) And government expenditure declines over time according to G=Go(1-8), 0<8 <1 (1) (ii) Where & is the exogenous rate of decline of government expenditure Derive the linear second order difference equation. Solve the difference equation.

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