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(dy)/(dx)=(e^(y))/(x^(2))-(1)/(x)...

(dy)/(dx)=(e^(y))/(x^(2))-(1)/(x)

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

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 .

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