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The solution for the differential equation (dy/y +dx/x) = 0 is

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+1 vote
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in Mathematics by (48.5k points)

The solution for the differential equation (dy/y +dx/x) = 0 is

(1) log x * log y = c

(2) x + y = c

(3) 1/y +1/x = c

(4) xy = c

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1 Answer

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by (52.4k points)

Correct option (4) xy = c

Explanation:

dy/y +dx/x = 0

⇒log y + log x = log c

⇒xy = c

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