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

If `x^2+y^2=t-1/t` and `x^4+y^4=t^2+1/t^2` then prove that `x^3ydy/dx=1`.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  3. If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2 then prove that x^3ydy/dx=1.

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