" (i) "(y sin(y)/(x)-x cos(y)/(x))xdy=(x cos(y)/(x)+y sin(y)/(x))ydx

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

Solve {x cos((y)/(x))+y sin((y)/(x))}ydx={y sin((y)/(x))-x cos((y)/(x))}xdy

Find the general solution the following differential equations (ydx + xdy) x cos ((y)/(x)) = (xdy-ydx) y sin ((y)/(x))

The solution of differential equation [x cos ((y) / (x)) + y sin ((y) / (x))] y- [y sin ((y) / (x)) - x cos ((y ) / (x))] x (dy) / (dx) = 0

Show that the given differential equation is homogeneous and solve each of them.{x cos((y)/(x))+y sin((y)/(x))}ydx={y sin((y)/(x))-cos((y)/(x))}xdy

Obtain the particular solution of the differential equation: { x cos ((y)/( x)) + y sin ((y)/( x))} ydx= { y sin ((y)/( x) ) - x cos ((y)/( x))}xdy where : x=2 when y= (pi)/(2) .

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy

{ xcos ((y)/(x)) + y sin ((y)/(x))} y dx = { y sin ((y)/(x)) - x cos ((y)/(x))}x dy