Degree bound on $x^4+y^4=2$: if $p\ne0$ and $p(x)\,y^j\,dx/y^3$ is regular at $\mathcal P_\infty$, then $\deg p+j\le1$

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Degree bound on $x^4+y^4=2$: if $p\ne0$ and $p(x)\,y^j\,dx/y^3$ is regular at $\mathcal P_\infty$, then $\deg p+j\le1$ · Prove2Me