(x-y)e^(x/(x-y))=k" then "

If (x-y)e^((x)/(x-y))=a; then y(dy)/(dx)+x is

If e^(x)+e^(y)=e^(x+y)" then "y_(1)=

If y = (e^(x)-e^(-x))/(e^(x)+e^(-x)) then prove that y = (e^(2x)-1)/(e^(2x)+1) .

If x^(y)=y^(x) then ((x)/(y))^((x)/(y))=x^((x)/(y)-k) where k=

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 A={(x,y):y=e^(-x)}" and "B={(x,y):y=-x} . Then,