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Thread: Seperable DE Help!!

  1. February 23rd 2010, 11:21 AM #1
    calculuskid1
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    Seperable DE Help!!

    I have a DE of Ds/Dt=(5-s)/50 S(0)=0
    I keep doing it wrong and it is very frustrating I do not know why. I know how to do it and everything but I must keep plugging in numbers wrong
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  2. February 23rd 2010, 11:25 AM #2
    icemanfan
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    This is a separable DE. You have

    \frac{ds}{dt} = \frac{5-s}{50}

    \frac{ds}{5-s} = 50 \cdot dt

    \int \frac{ds}{5-s} = \int 50 \cdot dt.

    How far have you gone past this point? What are you having trouble with?
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  3. February 23rd 2010, 11:40 AM #3
    calculuskid1
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    I think my biggest problem is I dont know what is going on here:
    how does
    -ln (5-s)=1/50t-ln5the same as
    ln(5/5-s)=1/50t
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  4. February 23rd 2010, 12:24 PM #4
    Ted
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    Quote Originally Posted by icemanfan View Post
    This is a separable DE. You have

    \frac{ds}{dt} = \frac{5-s}{50}

    \frac{ds}{5-s} = \color{red} 50 \cdot dt
    Its \frac{ds}{5-s}=\frac{1}{50}dt.
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