[SOLVED] Differential Equation General Solution Help

hey guys, i'm really struggling with this and need someone to point me in the right direction, any help at all would be greatly appreciated!

**Find the general solution of Eq.2 and hence the general solution for y(x). Your answer should have 2 arbitrary constants of integration.**

Here are the equation's i've got so far:

**1. **$\displaystyle \frac{dy}{dx}=\frac{{\rho}g}{T}\int^x_{0}\sqrt{1+\ frac{dy}{dt}^2}dt$

Differentiating both sides of Eq.1 to produce second order ODE for y(x)

$\displaystyle \frac{d^2y}{dx^2}=\frac{{\rho}g}{T}\sqrt{1+\frac{d y}{dx}^2}$

By letting $\displaystyle u=\frac{dy}{dx}$

2. $\displaystyle \frac{du}{dx}=\frac{{\rho}g}{T}\sqrt{1+u^2}$