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gmer

  • 2 years ago

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

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  1. gmer
    • 2 years ago
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    I started by multpling and factoring the right side

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

  4. imagreencat
    • 2 years ago
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    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
    • 2 years ago
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    It's a population growth equation, i need to use it to solve for some populations

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