Question

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

Answer 1

I started by multpling and factoring the right side

Answer 2

then it became seperable and I ended up with
\[\int{25 \over P - 250} - {25 \over P - 750} dP = - \int dt\]
after partial fractions

Answer 3

\[25 \ln {|P - 250| \over |P - 750|} = -t + c\]
how do I solve this thing for P?

Answer 4

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.

Answer 5

It's a population growth equation, i need to use it to solve for some populations