Solve `{xcos(y/x)+ysin(y/x)}y dx={ysin(y/x)-xcos(y/x)}xdy`

Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy

Solve the following differential equations y{x cos (y/x)+y sin (y/x)}dx- x{ y sin (y/x)-x cos (y/x)}dy=0 .

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

(xe^(y/x)-ysin(y/x))dx+xsin(y/x)dy=0

Solve the following differential equations (x cos\ (y)/(x)+y sin\ (y)/(x))y\ dx=(ysin\ (y)/(x)-xcos\ (y)/(x))x\ dy

x(dy)/(dx)=y-xcos^(2)(y/x)

(xcos(y/x))(dy)/(dx)=(ycos(y/x))+x

Solve the following differential equations: (y)/(x)cos((y)/(x))dx-{(x)/(y)sin((y)/(x))+cos((y)/(x))}dy=0

Solve (dx )/(dy) +x/y= sin y

Solve: x(dy)/(dx)=y-x tan((y)/(x))