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x^(2) + y^(2) =r^(2) is a solution of t...

`x^(2) + y^(2) =r^(2) ` is a solution of the D.E. `y =x(dy)/(dx) + r sqrt(1+((dy)/(dx))^(2))`

A

`y=xy_(1)-r sqrt(1+(y_(1))^(2))`

B

`y_(1)=xy+rsqrt(1+y^(2))`

C

`y_(1)=xy+r sqrt(1+x^(2))`

D

`y=xy_(1)+r sqrt(1+(y_(1))^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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