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Math Help - make p the subject.

  1. #1
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    Exclamation make p the subject.

    find an explicit formula for P in terms of t....

    I'm struggling with this one

    I know we can do dt/dP = 1/p(2-0.01p)

    then apply partial fractions.. and then integerate and then .... thats when its gets abit tricky.

    to find C... t=0 when P=50

    the answer is 200/1+3e^-?t


    I forgot what that something is...

    Thanks
    Last edited by mr fantastic; September 12th 2009 at 02:49 PM. Reason: Changed post title
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  2. #2
    Super Member Matt Westwood's Avatar
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    Sorry, you've confused me ... what's the equation you're trying to solve?
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  3. #3
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Matt Westwood View Post
    Sorry, you've confused me ... what's the equation you're trying to solve?
    \frac{dt}{dP} = \frac{1}{p(2-0.01p)}

    (under edit while fixing mistakes)

    dt = \frac{dP}{p(2-0.01p)} = \frac{A}{p} + \frac{B}{2-0.01p}

    \frac{1}{p(2-0.01p)} = \frac{(2-0.01p)A + Bp}{p(2-0.01p)}
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  4. #4
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    Yes, I've done that and went abit further..

    then we find the values of a and b which are 1/2 and 1/200 respectively.

    then we find C...

    then the problem is when I make P the subject ??
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  5. #5
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    The equation is dt/dp= 1/p(1-0.01P)

    to find the constant C use when t=0 P=50 ...
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