Show that the given differential equation is homogeneous and solve it.
`y dx+xlog(y/x)dy-2x dy=0`

Explanation

Given differential equation is

`y dx+xlog(y/x)dy-2x dy=0`

`y dx+xlog(y/x)dy=2x dy`

divide by `x` both side and divided by `dx` on both side

`y/x. (dx)/(dx)+log(y/x)(dy)/(dx)=2x dy/(dx)`

`(dy/dx) = (y/x) / (2- log(y/x))......(i)`

it is of the form of homogeneous differential equation


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