The holomorphic differentials of $x^4+y^4=2$ are spanned by $dx/y^3$, $x\,dx/y^3$ and $dx/y^2$

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The holomorphic differentials of $x^4+y^4=2$ are spanned by $dx/y^3$, $x\,dx/y^3$ and $dx/y^2$ · Prove2Me