Homework: Finding an antiderivative

[twinebiscuit]

Homework Statement

dy/dx = y(1-y)

Homework Equations

The Attempt at a Solution

dx = dy(y(1-y))?

 

[dextercioby]

What do you know about separation of variables ?

 

[twinebiscuit]

that you can separate them if there is an x and a y on the right side of the equation and they are multiplying

 

[dextercioby]

Alright, so can you separate x and y in your equation ?

 

[twinebiscuit]

I don't think so because there is no x on the right side it's only y?

 

[dextercioby]

Alright, then, you must reread your notes, because the equation you posted is separable, as it's a simpler case of the general

$$\frac{dy}{dx} = X(x)Y(y)$$

In your case, X(x)=1, so the variables can be separated.