What is the (dP)/(dt)=P(10^{-1}-P*10^{-7}),P(0)=7000 ?

The (dP)/(dt)=P(10^{-1}-P*10^{-7}),P(0)=7000 is 7000

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(dP)/(dt)=P(10^{-1}-P*10^{-7}),P(0)=7000

\frac{d P}{d t} = P (1 0^{- 1} - P \cdot 1 0^{- 7}), P (0) = 7000

7000

Solution steps

Find

P (1 0^{- 1} - P \cdot 1 0^{- 7})

given

P (0) = 7000

P (1 0^{- 1} - P \cdot 1 0^{- 7}) = P (1 0^{- 1} - P \cdot 1 0^{- 7})

Constant function results in a constant

P (0) = 7000

= 7000

What is the (dP)/(dt)=P(10^{-1}-P*10^{-7}),P(0)=7000 ?
The (dP)/(dt)=P(10^{-1}-P*10^{-7}),P(0)=7000 is 7000