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.