`(xe^(y/x)-ysin(y/x))dx+xsin(y/x)dy=0`

x(dy)/(dx)-y+xsin(y/x)=0

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

Show that the differential equation x(dy)/(dx)sin(y/x)+x-ysin(y/x)=0 is homogenous. Find the particular solution of this differential equation, given that x=1 when y=pi/2 .

Solve (xe^(y/x)-y sin frac{y}{x})dx+xsinfrac{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

If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx and y(1)=(pi)/(2) , then the value of cos((y)/(x)) is equal to

Solve the following differential equations xe^(y/x)-y+x(dy)/(dx)=0" if "y(e )=0 .

If xe^(xy)-y=sin^(2)x then (dy)/(dx) at x = 0 is

If xsin((y)/(x))dy = (y sin((y)/(x))-x)dx and y(1) = (pi)/(2) then the value of cos((y)/(e^(7))) is __________.