Question
In each of the following examples verify that the given function is a solution of the differential equation.
$x^2=2 y^2 \log y, x^2+y^2=x y \frac{d x}{d y}$
$x^2=2 y^2 \log y, x^2+y^2=x y \frac{d x}{d y}$
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$\cos ^{-1}\left(3 x-4 x^3\right)$