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If x^3 + y^3 = t – 1/t and x6 + y^6 = t^2 + t^(1/2) then prove that x^4y^2 dy/dx = 1

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If x3 + y3 = t – 1/t and x6 + y6 = t2 + t(1/2) then prove that x4y2 dy/dx = 1

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Given

t - 1/t = x3 + y3

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