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Question Number 85834 by sahnaz last updated on 25/Mar/20

$${2\mathrm{y}}^{{}^{\prime }}-\frac{\mathrm{x}}{\mathrm{y}}=\frac{\mathrm{xy}}{{\mathrm{x}}^2-1}$$

Answered by mind is power last updated on 27/Mar/20

$$\iff 2y^{\prime }y-x=\frac{{xy}^2}{x^2-1}$$$$u=y^2\Rightarrow 2y^{\prime }y=u^{\prime }$$$$\Rightarrow u^{\prime }-x=\frac{xu}{x^2-1}$$$$\Rightarrow xu-(x^2-1)u^{\prime }-x(x^2-1)=0easynow$$

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