Question
Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible:
(x - y) y' = x + 2 y
Solution
The given differential equation is
or
...(1)
Put y = vx so that
Separating the variables,
Integrating,
Which is required solution.
or
...(1)Put y = vx so that
Separating the variables,
Integrating,
Which is required solution.
