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Unformatted text preview: exist. The economist can use such programmes to solve the mathematics and so concentrate on model Formulation and model Features. This we shall do in part II. 2.10 Linear approximations to nonlinear differential equations Consider the diFFerential equation x = f ( x ) here f is nonlinear and continuously diFFerentiable. In general we cannot solve such equations explicitly. We may be able to establish the fxed points oF the system by solving the equation f ( x ) = 0, since a fxed point is characterised by x = 0. Depending on the nonlinearity there may be more than one fxed point....
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 Fall '11
 Dr.Gwartney
 Economics

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