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valentinak56 [21]
3 years ago
9

How do you calculate the explicit solution to dP/dt=kP-h?

Mathematics
1 answer:
dusya [7]3 years ago
3 0
Since the k and h are constants therefore this differential equation is a variable separable D.E. In order to solve this D.E. we need to group together terms with the same variable, that is, 

dP/(kP-h) =dt

perform integral on both sides of the equation, we obtain 


(1/k)* ln (kP - h) = t + C

Since we are not given limits to the equation, it is best to put C or the constant term in any side of the equation.
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I hope you are having a wonderful day!

I would be happy to help!

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Hope I helped!

Let me know if you need anything else!

~ Zoe
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