Consider the two-sector model dY/dt = 0.3(C + I - Y ) C = 0.8Y + 300

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Consider the two-sector model
dY/dt = 0.3(C + I - Y )
C = 0.8Y + 300
I = 0.7Y + 600
Find an expression for Y(t) when Y(0) = 200. Is this system stable or unstable?

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