Find the Solution to dy/dx = 3y-3y2

[Phox]

Homework Statement

Find the explicit solution of dy/dx = 3y-3y²

Be sure to include any singular solutions in your answer

Homework Equations

Not sure...

The Attempt at a Solution

dy/dx = 3y-3y²
dy/(3y-3y²)=dx
∫(1/(3y-3y²))=(1/3)logy-(1/3)log(1-y)
∫(dx) = x + c

x+c = (1/3)logy-(1/3)log(1-y)

I'm really not even sure I'm on the right track here.

Appreciate the help.

 

[tiny-tim]

Hi Phox!

x+c = (1/3)logy-(1/3)log(1-y)

Looks ok so far.

Now do e-to-the to both sides, and solve for y. ​