First oder differential equation.

[Zubz]

Homework Statement

Hi, i have a question.
1. find the function f(x).
f'(x) = f(x)(1- f(x)) f(0) = 1/8 ---> intial value problem.

Homework Equations

The Attempt at a Solution

y' = y(1 - y)
y' = y - y2
and now i don't know how/ what to do.

 

[HallsofIvy]

$$\frac{dy}{dt}= y(1- y)$$
so
$$\frac{dy}{y(1- y)}= dt$$

Now integrate on both sides.