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Differential eq problem (urgent)
I have the following question which I was to answer:
"The rate of increase of the rate of inflation is decreasing". Write this sentence in terms of derivatives of average prices.
My answer was:
Let p=price
t=time
Therefore rate of change of price = dp/dt (Inflation) = I
Therefore rate of change of Inflation = I'
Therefore I'= (d^2p)/(dt^2)
Since the rate of change of Inflation is decreasing;
I' = - (d^2p)/(dt^2)
I just wanted to check whether my answer is correct.
Please help.
I have the following question which I was to answer:
"The rate of increase of the rate of inflation is decreasing". Write this sentence in terms of derivatives of average prices.
My answer was:
Let p=price
t=time
Therefore rate of change of price = dp/dt (Inflation) = I
Therefore rate of change of Inflation = I'
Therefore I'= (d^2p)/(dt^2)
Since the rate of change of Inflation is decreasing;
I' = - (d^2p)/(dt^2)
I just wanted to check whether my answer is correct.
Please help.