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

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

The solution of the differential equation x cos((y)/(x))(dy)/(dx)=y cos((y)/(x))+x is

Show that the differential equation x sin ((y)/(x))(dy)/(dx) = y sin ((y)/(x)) + x is homogeneous. Also find its general solution.

Show that the differential equation x sin ((y)/(x))(dy)/(dx) = y sin ((y)/(x)) + x is homogeneous. Also find its general solution.

If (dy)/(dx)= (x-y)/(x+y) then its solution is :

Show that the differential equation x-cos(y/x)((dy)/(dx)) = ycos(y/x)+x is homogeneous and solve it.

Show that the differential equation xcos(y/x)(dy)/(dx)=ycos(y/x)+x is homogeneous and solve it.

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

Find the particular solution of the differential equation xcos(y/x)(dy)/(dx)=ycos(y/x)+x\ given that when x=1,\ y=pi/4dot