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" If "x^(2)+y^(2)=t-(1)/(t)" and "x^(4)+...

" If "x^(2)+y^(2)=t-(1)/(t)" and "x^(4)+y^(4)=t^(2)+(1)/(t^(2))," then prove that "(dy)/(dx)=(1)/(x^(3)y)

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