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[" If "2^(x)+2^(y)=2^(x+y)" hen "(dy)/(d...

[" If "2^(x)+2^(y)=2^(x+y)" hen "(dy)/(dx)=],[" (1) "2^(x-y)],[" (2) "-2^(x-y)],[" (3) "2^(y-x)]

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(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(x-y+3)/(2x-2y+5)

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

(dy)/(dx)=(3x+2y)/(2x-3y)

(dy)/(dx)=(2x-3y)/(3x-2y)

(dy)/(dx)=(x+y+7)/(2x+2y+3)

(dy)/(dx)=(2x+3y)/(3x+2y)

(dy)/(dx)=(y^(3)-2x^(2)y)/(x^(3))

Solve: (dy) / (dx) = (y (x + 2y)) / (x (2x + y)), y (1) = 2