Q5 of 30 Page 961

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

(x + y)dy + (y - 2x)dx = 0


(x + y)dy + (y - 2x)dx = 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




⇒ y2 + 2xy - 2x2 = c


Ans: y2 + 2xy - 2x2 = c


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