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


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