Answer :

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



Here, putting x = kx and y = ky




= k0.f(x,y)


Therefore, the given differential equation is homogeneous.


(x - y)dy – (x + y)dx = 0



To make it we make the substitution.


y = vx


Differentiating eq. with respect to x, we get









Integrating both sides we get,






2vdv = dt












The required solution of the differential equation.


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