if `y+x(dy)/(dx)=x(phi(xy))/(phi'(xy))` then `phi(xy)` is

(dy)/(dx) = (x^(2)+y^(2))/(xy)

If y=x/(In|cx|) (where c is an arbitary constant) is the general solution of the differential equation (dy)/(dx)=y/x+phi(x/y) then function phi(x/y) is:

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

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

Solve y^(2)+x^(2)(dy)/(dx)=xy(dy)/(dx)

If cos ( xy) = x , show that (dy)/(dx) = -((1+ y sin (xy)))/(x sin xy)

if cos(xy)=x, show that (dy)/(dx)=(-(1+ysin(xy)))/(xsinxy) .