In each of the following differential equation show that it is homogeneous and solve it.
(x3 + 3xy2)dx + (y3 + 3x2y)dy = 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
⇒ y4 + 6x2y2 + x4 = C
Ans: y4 + 6x2y2 + x4 = C