Solve the following differential equation: `\ x(dy)/(dx)-y=2\ sqrt(y^2-x^2)`

Explanation

$$ \begin{aligned} &x(d y / d x)=y+2 \sqrt{\left(y^{2}-x^{2}\right)} \\ &\frac{d y}{d x}=\frac{y+2 \sqrt{\left(y^{2}-x^{2}\right)}}{x}, \end{aligned} $$
It is a homogeneous equation.
Put `y=v x`
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