Integrate the equations \[ \frac{d y}{d x}+\frac{y}{x}=\frac{y^{n}}{x^{n}} \text {. } \]

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Integrate the equations
\[
\frac{d y}{d x}+\frac{y}{x}=\frac{y^{n}}{x^{n}} \text {. }
\]
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