y^(x)=x^(y)

Let f(x,y)=(x-y)/(x+y),x+y!=1, then

If x=2 and y=4 , then ((x)/(y))^(x-y)+((y)/(x))^(y-x) =________.

x^(y)=y^(x),x=2y

If x ^(y) + y ^(x) = a ^(b) then show that (dy)/(dx) =- ((y x ^(y-1) + y^(x) log y)/( x ^(y) log x + x y ^(x -1)))

If S=(x+y)(x-y)+(1)/(2!)(x+y)(x-y)(x^(2)+y^(2))+(1)/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2))+..., then S =

The value of (x+y)(x-y)+(1)/(2!)(x+y)(x-y)(x^(2)+y^(2))+(1)/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2)) is i

Sum of the series (x+y)(x-y) +1/(2!)(x+y) (x-y) (x^(2)+y^(2)) 1/(3!)(x+y)(x-y)(x^(4)+y^(4)+x^(2)y^(2))+... is

x"@"y=(x+y)^(2) x#y=(x-y)^(2) Find the value of (20"@"4)#35:

x"@"y=(x+y)^(2) x#y=(x-y)^(2) Find the value of 516#(14"@"13)):

x"@"y=(x+y)^(2) x#y=(x-y)^(2) Find the value of (9#7)"@"(21#5):