In the paper is intended to show the development of macroeconomic analysis with the utilization of mathematics methods. The method most utilized by economist to build economics models with recurs characteristics and uncertain of the economics phenomenon, is the stochastic dynamics analysis. In this sense, it is considered to elaborate a economic growth model where it is introduced the public expenditure and the uncertainty, with the dynamic analysis minimum, to conclude that not it must to abuse in the build of models with the use of sophisticated techniques, but without economics content in its designs and results.
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