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 Solution The given differential equation can be expressed as
dy
dx  =
2
x
y
x
+y
−