Verify that \( x^{2}=2 y^{2} \log y \) is a solution of the differe...

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Verify that \( x^{2}=2 y^{2} \log y \) is a solution of the differential equation
\( \mathrm{P} \) \( \left(x^{2}+y^{2}\right) \frac{d y}{d x}-x y=0 \).

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