Word Count : 214

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The given differential form is homogeneous of degree three in $x,y,z$. Write it as $$ M\,dx+N\,dy+P\,dz=0 $$ with $$ M=z(x^2-y^2-z^2),\qquad N=xz(x+z),\qquad P=x\big(z^2-x^2-xy\big). $$ Because each of $M,N,P$ is homogeneous of the same degree, it is natural to reduce the problem by the _____ ___ ________ ________ ____ _________ ______ ______ _________ __________ ___ ____.
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