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

xy = log y + C :


It is given that xy = log y + C

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




y + xy’ =


y2 + xyy’ = y’


(xy – 1)y’ = -y2


y’ =


Thus, LHS = RHS


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


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