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The solution of the differential equatio...

The solution of the differential equation
`ysqrt(1+x^2) dy+xsqrt(1+y^2)dx=0` is

A

`ysqrt(1+x^2) +xsqrt(1+y^2)=c`

B

`sqrt(1+x^2) +sqrt(1+y^2)+log abs(xy)=c`

C

`sqrt(1+x^2) +sqrt(1+y^2)=c`

D

`sqrt(1+x^2) cdot sqrt(1+y^2)=c`

Text Solution

Verified by Experts

The correct Answer is:
C
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