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Math Help - Separable equation - amount of money in circulation

  1. #1
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    Separable equation

    Nvm.
    Last edited by Ares_D1; May 20th 2009 at 09:35 AM.
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  2. #2
    MHF Contributor chisigma's Avatar
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    If we indicate with M the amount of money in circulation and with \delta the tha quantity in per cent that circulates throgh the banks in a day, the quantity of new currency generated in a day is...

    x^{'} = \delta (M - x)

    ... that can be written in standard form as...

    x^{'} + \delta\cdot x = \delta \cdot M (1)

    The (1) is a linear first order DE that can be solved in usual fashion...

    Kind regards

    \chi \sigma
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