I am having trouble with this problem, but I am sure that I am just making a dumb mistake...
Find C(t) from dC/dt = C(1-.0005C), C(0) = 1
First you use partial fractions to get: ((1/C) + (.0005/(1-.0005C))dC = dt
After that, I integrated the fractions to get:
ln (C) + .0005(ln(1-.0005)) = t + d d is a constant
But my books says the second natural log: .0005(ln(1-.0005)), should be negative, and then from there on I am completely stuck... Could anyone tell me how to do this?