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If dx + dy = (x+y) (dx–dy) ⇒log (x+y) =

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2x+y+c3

x+y+c

x+2y+c

x–y+c

answer is C.

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Detailed Solution

$dx + dy = (x + y) (dx - dy) \frac{dx + dy}{x + y} = dx - dy \int \frac{d (x + y)}{x + y} = \int dx - \int dy \log (x + y) = x - y + c$

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