# Help me with this ordinary differential equation

1. Apr 3, 2010

### ENgez

1. The problem statement, all variables and given/known data
I need to find a general function y(x) such that:
$$\dot y(x) - 2y(x) = y^2(x)-3$$

2. Relevant equations

3. The attempt at a solution
I tried dividing the equation by $$y^2-3$$ and turn it in to a Bernoulli differential equation, but that didn't work. The equation seems relatively simple yet i can't recall any method to solve it. Please help.

2. Apr 3, 2010

### Staff: Mentor

It's separable. dy/dx = y2 + 2y - 3 ==> dy/(y2 + 2y - 3) = dx

3. Apr 3, 2010

### ENgez

How could i not see that!! i solved it, tnx alot. :)