Find the particular solution of the differential equation 
dx + xdy = 0, it being given that y = 
when x = 1.
⇒ 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
y = 
when x = 1
⇒ c = 1
Ans: 
1