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

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

(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)) .

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

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

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

IF the solution of differential equation ( dy)/(dx) = ( x-y) /( x+y) is ( x+ y )^2= x + a x ^2 then a is ____

If x=y log(xy) , then prove that (dy)/(dx) = (y (x-y))/(x(x+y)) .

If x^(y)=y^(x) , prove that (dy)/(dx)=((y)/(x)-log y)/((x)/(y)-log x)