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

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

Solve the differential equations : [x+ycos((y)/(x))]dx=x cos ((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)

x*cos((y)/(x))((dy)/(dx))=ycos((y)/(x))+x find its solution.

Consider the differential equation xcos((y)/(x))(dy)/(dx)=ycos((y)/(x))+x i . Show that the differential equation is homogeneous. ii . Hence find the gerenal solution

y-x(dy)/(dx)=x+y(dy)/(dx)