Q3 of 30 Page 961

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

x2dy + y(x + y)dx = 0


x2dy + y(x + y)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




⇒ x2y = c2(y + 2x)


Ans: x2y = c2(y + 2x)


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