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The solution of the differential equatio...

The solution of the differential equation
`{1+xsqrt(x^(2)+y^(2))}dx + {(x^(2)+y^(2))-1}ydy=0` is equal to

A

`(1+xsqrt(x^(2)+y^(2)))dx+(-1+sqrt(x^(2)+y^(2)))ydy=0,`

B

`2x-y+(2)/(3)(x^(2)+y^(2))^(3//2)=c`

C

`2y-x^(2)+(2)/(3)(x^(2)+y^(2))^(3//2)=c`

D

None of these

Text Solution

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The correct Answer is:
A
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