In each of the following differential equation show that it is homogeneous and solve it.

(x - y)dy - (x + y)dx = 0


(x - y)dy - (x + y)dx = 0





the given differential equation is a homogenous equation.


The solution of the given differential equation is :


Put y = vx






Integrating both the sides we get:





Resubstituting the value of y = vx we get




Ans:


2