gmer 4 years ago Find the general solution ${dP \over dt} = 0.08P\left(1-{P \over 1000} \right) -15$

1. gmer

I started by multpling and factoring the right side

2. gmer

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

3. gmer

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

4. imagreencat

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.

5. gmer

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