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The solution of (1-x^(2)) (dy)/(dx) + xy...

The solution of `(1-x^(2)) (dy)/(dx) + xy = xy^(2)` is

A

`sqrt(x^(2) - 1) = ysqrt(x^(2) +1) + cy`

B

`sqrt(x^(2) - 1) = ysqrt(x^(2) -1) + cy`

C

`sqrt(x^(2) + 1) = ysqrt(x^(2) +1) + cy`

D

`sqrt(x^(2) + 1) = sqrt(x^(2) - 1)+cy`

Text Solution

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The correct Answer is:
B
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