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

xdy = (x + y)dx


Xdy = (x + y)dx





⇒ 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:


1