Undergrad Expressing a differential equation into a different format

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To express the differential equation (dy/dx) = (y/x) + tan(y/x) in the form Mdx + Ndy = 0, one approach is to set M = (y/x) + tan(y/x) and N = -1. This transformation allows for the equation to be rearranged into the desired format. The discussion emphasizes the importance of correctly identifying M and N as functions of x and y. The proposed solution simplifies the equation while maintaining its integrity. Understanding these transformations is crucial for solving differential equations effectively.
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How do we express this differential equation (dy/dx)= (y/x) + tan(y/x) into this form( Mdx + Ndy=0) where M,N are functions of (x,y) ?
 
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\frac{dy}{dx}=\frac{y}{x}+\tan\frac{y}{x}=-\frac{M}{N}
why do not you make
M=\frac{y}{x}+\tan \frac{y}{x},N=-1
 
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