# Homework Help: Seperable differential eqn.

1. May 4, 2012

### Raphisonfire

1. The problem statement, all variables and given/known data
$$\frac{dy}{dx} = \frac{1+\sqrt{x-2}}{1+2y}$$

I have solved the equation down too

y + y2 = x + (2/3)(x-2)(3/2) + C1

I am not sure where to go from here... Do I solve for C1 and then plug it back into the equation and solve it as a quadratic or just solve it as a quadratic?

2. May 4, 2012

### clamtrox

If you have an initial condition, you can use it to solve for C whenever you want. Otherwise there's no way of determining its value.