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

x^{2} = 2y^{2} log y :

It is given that x^{2} = 2y^{2} 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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