For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation.

x2 = 2y2 log y :

It is given that x2 = 2y2 log y


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


2x = 2.





Now, substituting the value of in the LHS of the given differential equation, we get,




= xy –xy


= 0


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


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