`(dy)/(dx)=(y(x-y))/(x(x+y))`

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

Show that each of the following differential equations is homogeneous and solve each of them : (dy)/(dx)=(y(y+x))/(x(y-x)) .

Find the particular solution of the differential equation (dy)/(dx)=(y(2y-x))/(x(2y+x)) ,given that y=1 when x=1 .

Solve the differential equations: (dy)/(dx)=(y(2y-x))/(x(2y+x))

If x ylog(x+y)=1 , prove that (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))

If x y\ log(x+y)=1 , prove that (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y)) .

If x ylog(x+y)=1,p rov e \ t h a t \ (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))dot

(dy)/(dx)=(y(2y-x))/(x(2y+x))=0 , given y=1, when x=1