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- May 20th 2009, 02:31 AMAres_D1Separable equation
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- May 20th 2009, 03:57 AMchisigma
If we indicate with $\displaystyle M$ the amount of money in circulation and with $\displaystyle \delta$ the tha quantity in per cent that circulates throgh the banks in a day, the quantity of new currency generated in a day is...

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

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

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

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

Kind regards

$\displaystyle \chi$ $\displaystyle \sigma$