[(e^(x)+e^(-x))dy-(e^(x)-e^(-x))dx],[y log ydx-xdy=0]

If e^(x)+e^(y)=e^(x+y), prove that (dy)/(dx)=-(e^(x)(e^(y)-1))/(e^(y)(e^(x)-1)) or,(dy)/(dx)+e^(y-x)=0

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

If e^x+e^y=e^(x+y) , prove that (dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1)) or, (dy)/(dx)+e^(y-x)=0

The solution of differential equation xdy(y^(2)e^(xy)+e^(x//y))=ydx(e^(x//y)-y^(2)e^(x//y)), is

The solution of differential equation xdy(y^(2)e^(xy)+e^(x//y))=ydx(e^(x//y)-y^(2)e^(x//y)), is

The solution of differential equation xdy(y^(2)e^(xy)+e^(x//y))=ydx(e^(x//y)-y^(2)e^(xy)), is

The solution of differential equation xdy(y^(2)e^(xy)+e^(x//y))=ydx(e^(x//y)-y^(2)e^(xy)), is

The solution of differential equation xdy(y^(2)e^(xy)+e^(x//y))=ydx(e^(x//y)-y^(2)e^(xy)), is

y(xy+e^x)dx-e^xdy=0

The solution of e^(x((y^(2)-1))/(y)){xy^(2)dy+y^(3)dx}+{ydx-xdy}=0 , is