Hi, I am supposed to solve the following initial value problem but am stuck with an ugly integral:

y' = y(1-y) y(0)=yo (y subscript 0), where is an arbitrary constant.

I have worked it out as follows:

dy/dt = (y-y)

dy/(y-y) = dt

[ dy/(y-y) ] = [ dt ]

[ dy/(y-y) ] = t + c

But how do you integrate the left side? Or is there another way to solve this for y? Thank you.