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

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

(xe^(y/x)-ysin(y/x))dx+xsin(y/x)dy=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 (xdy-ydx)ysin(y/x)=(ydx+xdy)xcos(y/x)

Solve the following differential equations: y/x cos(y/x)dx-{x/ysin(y/x)+cos(y/x)}dy=0

Solve x (dy)/(dx)sin(y/x)+x-ysin(y/x)=0 given y(1)=pi/2

The solution of the differential equation (x^2dy)/(dx)cos(1/x)-ysin(1/x)=-1, where y -> 1 as x -> oo is (A) y=sin(1/x)+cos(1/x) (B) y=(x+1)/(xsin(1/x)) (C) y=sin(1/x)-cos(1/x) (D) y=x/(xcos(1/x))

Solve the following differential equation: xcos(y/x)(y dx+x dy)=ysin(y/x)(x\ dy-y\ dx)

Find the particular solution of the differential equation : xe^(y//x)-ysin(y/x)+x(dy)/(dx)sin(y/x)=0 given that when x = 1 , y = 0

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