1. ## Homogeneous de

I need help solving the homogeneous de

dy/dx=(y+x)/(y-x)

2. $
\begin{gathered}
\frac{{dy}}
{{dx}} = \frac{{y + x}}
{{y - x}} \hfill \\
\Leftrightarrow \frac{{dy}}
{{dx}} = \frac{{\frac{y}
{x} + 1}}
{{\frac{y}
{x} - 1}} \hfill \\
\end{gathered}$

now make the following substitution:

$
v = \frac{y}
{x} \Rightarrow v + x\frac{{dv}}
{{dx}} = \frac{{dy}}
{{dx}}$

....