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

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

Show that the given differential equation is homogeneous and solve it: {xcos(y/x) + ysin(y/x)}y dx = {ysin(y/x) - xcos(y/x)} xdy

Solve the differential equation: (xcos(y/x)+ysin(y/x))y-(ysin(y/x)-xcos(y/x))xdy/dx=0 .

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

Solve xcos(y/x)dy={ycos(y/x)+x}dx

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

Solve xsin(y/x)dy=(ysin(y/x)-x)dx .