In each of the question, show that the given differential equation is homogeneous and solve each of them.




Here, putting x = kx and y = ky




= k0.f(x,y)


Therefore, the given differential equation is homogeneous.




To solve it we make the substitution.


y = vx


Differentiating eq. with respect to x, we get








v = logx + C



y = xlogx + Cx


The required solution of the differential equation.


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