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Find the general solution of the differe...

Find the general solution of the differential equation
`sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx) =0.`

A

`sqrt(1+y^(2)) + sqrt(1+x^(2)) =(1)/(2) ""log_e""((sqrt(1+x^(2))+1)/(sqrt(1+x^(2))-1))+C`

B

`sqrt(1+y^(2)) -sqrt(1+x^(2)) =(1)/(2) ""log_e""((sqrt(1+x^(2))+1)/(sqrt(1+x^(2))-1))+C`

C

`sqrt(1+y^(2)) + sqrt(1+x^(2)) =(1)/(2) ""log_e""((sqrt(1+x^(2))-1)/(sqrt(1+x^(2))+1))+C`

D

`sqrt(1+y^(2)) + sqrt(1+x^(2)) =(1)/(2) ""log_e""((sqrt(1+x^(2))-1)/(sqrt(1+x^(2))+1))+C`

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