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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- Feb 23rd 2010, 11:21 AMcalculuskid1Seperable 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 - Feb 23rd 2010, 11:25 AMicemanfan
This is a separable DE. You have

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

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

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

How far have you gone past this point? What are you having trouble with? - Feb 23rd 2010, 11:40 AMcalculuskid1
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 - Feb 23rd 2010, 12:24 PMTed