Question
Show that the following differential equation is homogeneous and find a primitive of it. Derive the solution wherever possible:
(3 x y + y2) dx = (x2 + x y) dy
Solution
The given differential equation is
(3 x y + y2) dx = (x2 + x y) dy
or
Put y = v x so that
Separating the variables,
Integrating,
is the required solution.
(3 x y + y2) dx = (x2 + x y) dy
or
Put y = v x so that
Separating the variables,
Integrating,
is the required solution.
