In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

It is given that xy = log y + C

Now, differentiating both sides w.r.t. x, we get,

⇒ y + xy’ =

⇒ y^{2} + xyy’ = y’

⇒ (xy – 1)y’ = -y^{2}

⇒ y’ =

Thus, LHS = RHS

Therefore, the given function is the solution of the corresponding differential equation.

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