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## Homework Statement

Solve the equation:

y' = (1-y

^{2})/ (1-x

^{2}) , y(0) = 3

## Homework Equations

## The Attempt at a Solution

After solving, my final result was 3 -y+x-3xy =0, but the given answer is 8x

^{2}+y

^{2}=9.. can someone please kindly check the answer for me? I checked it several times but I still couldn't find anything wrong with my solution..