Question
Solve the following differential equation:
(y2 – x2) dy = 3 x y dx
Solution
The given differential equation is

or
...(1)
Put y = v x so that

or

Separating the variables, we get,

Integrating,


which is required solution.

or

Put y = v x so that


or


Separating the variables, we get,

Integrating,



which is required solution.