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[tex]\frac{dy}{dx}=\frac{y}{x}+\tan\frac{y}{x}=-\frac{M}{N}[/tex]

why do not you make

[tex]M=\frac{y}{x}+\tan \frac{y}{x},N=-1[/tex]

why do not you make

[tex]M=\frac{y}{x}+\tan \frac{y}{x},N=-1[/tex]

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