I need help solving the homogeneous de
dy/dx=(y+x)/(y-x)
Thxs in advance
$\displaystyle
\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:
$\displaystyle
v = \frac{y}
{x} \Rightarrow v + x\frac{{dv}}
{{dx}} = \frac{{dy}}
{{dx}}$
....