�Note  If the homogeneous differential equation is in the form 
F( , )
dx
x y
dy =
where, F (x, y) is homogenous function of  degree zero, then we make substitution
x
y =v
 i e , x = vy and we proceed further to find the general solution as discussed
above by writing 
F( , ) dx
x
x y
h
dy
⎛y
⎞
=
=
⎜
⎟
⎝
⎠
Example 15  Show that the differential equation (x – y) dy
dx  = x + 2y is homogeneous
and solve it