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" Solve "(x cos(y)/(x)+y sin(y)/(x))ydx=...

" Solve "(x cos(y)/(x)+y sin(y)/(x))ydx=(y sin(y)/(x)-x cos(y)/(x))xdy

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Show that the given differential equation is homogeneous and solve each of them.{x cos((y)/(x))+y sin((y)/(x))}ydx={y sin((y)/(x))-cos((y)/(x))}xdy

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{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy