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The solution of the differential equatio...

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

A

xy=C

B

`x+y=C`

C

`log x log y=C`

D

`x^(2)+y^(2)=C`

Text Solution

Verified by Experts

The correct Answer is:
a
The given differential equation is
`(dx)/x+(dy)/y =0`
On integrating both sides , we get
` log x + log y = k rArr log xy = k` ltbRgt ` rArr xy =e^(k) rArr xy =C,`
where `C = e^(k)`
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