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`.

Solve the following differential equations. x sin (y/x)dy=[y sin (y/x)-x]dx

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

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

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

Solve the following differential equation: x(dy)/(dx)-y+x sin((y)/(x))=0

Solve the following differential equations. (x dy/dx-y)sin (y/x)=x^2 e^x

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

Solve the following differential equation: cos x cos y(dy)/(dx)=-sin x sin y