Thread: Which technique should I use to solve this ODE?

1. Which technique should I use to solve this ODE?

$xy'=\sqrt{x^2-y^2}+y$

So far I've rearranged it to get:
$\frac{dy}{dx}=\frac{\sqrt{x^2-y^2}+y}{x}$

Thanks

2. Re: Which technique should I use to solve this ODE?

Now the RHS is rewritten as $\sqrt{1-{{\left( \frac{y}{x} \right)}^{2}}}+\frac{y}{x}.$