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Question Number 17477 by Sai dadon. last updated on 07/Jul/17

Given   (4xy/x^2 +y^2 )dy/dx=1,  y=0, x=0  show that (√x)(x^2 −5y^2 )=1

$${Given}\: \\ $$$$\left(\mathrm{4}{xy}/{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right){dy}/{dx}=\mathrm{1}, \\ $$$${y}=\mathrm{0},\:{x}=\mathrm{0} \\ $$$${show}\:{that}\:\sqrt{{x}}\left({x}^{\mathrm{2}} −\mathrm{5}{y}^{\mathrm{2}} \right)=\mathrm{1} \\ $$$$ \\ $$$$ \\ $$

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