If xy - yx- then xy x-y is

The correct option is C x^xy 1 (xy)^x/y = x^x^(1/y)y^x^(1/y) = x^x/yx^y^(1/y) = x^xy 1 ...

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If xy = yx,...

Question

If $x^{y} = y^{x}$ , then ${(\frac{x}{y})}^{x / y}$ is

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x^{\frac{x}{y} - 1}

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x^{x / y}

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y = x^{x}, then prove that \frac{d^{2} y}{d x^{2}} - \frac{1}{y} {(\frac{d y}{d x})}^{2} - \frac{y}{x} = 0

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