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

x–y + xsin = 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

⇒ Xtan = C

Ans: Xtan = C