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(x dx-y dy)/(x dy-y dx)=sqrt((1+x^2-y^2)...

`(x dx-y dy)/(x dy-y dx)=sqrt((1+x^2-y^2)/(x^2-y^2))`

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The solution of (x d x+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) is

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