Q7 of 30 Page 961

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

2xydx + (x2 + 2y2)dy = 0


2xydx + (x2 + 2y2)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



⇒ 3x2y + 2y3 = C


Ans: 3x2y + 2y3 = C


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