Show that the given differential equation is homogeneous and solve each of them.`{xcos(y/x)+ysin(y/x)}y dx={ysin(y/x)-xcos(y/x)}x dy`

Explanation

I have two concerns here.


Do you just want a proof OR do want “understanding” of the idea?


A simple proof is to just use the Trig Identity:


`cos( A – B) = cos(A) cos(B) + sin(A) sin(B)`


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