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
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?