`(ysin""(y)/(x)-xcos""(y)/(x))xdy=(xcos""(y)/(x)+ysin""(y)/(x))ydx`

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

Solve : (dy)/(dx)=(y(xcos""(y)/(x)+ysin""(y)/(x)))/(x(ysin""(y)/(x)-xcos""(y)/(x)))

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

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

Solve : (xdy-ydx)ysin""(y)/(x)=(ydx+xdy)xcos""(y)/(x) .

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

Solve xsin""y/xdy=(ysin""y/x-x)dx

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