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Find the general solution \[{dP \over dt} = 0.08P\left(1-{P \over 1000} \right) -15\]

Mathematics
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I started by multpling and factoring the right side
then it became seperable and I ended up with \[\int{25 \over P - 250} - {25 \over P - 750} dP = - \int dt\] after partial fractions
\[25 \ln {|P - 250| \over |P - 750|} = -t + c\] how do I solve this thing for P?

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Other answers:

Do you need to make it into a P= something form? Because that one up there is already a considerable final answer, in my opinion.
It's a population growth equation, i need to use it to solve for some populations

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