If $x^2+y^2=1$, then which of the following is true?
- A$y y^{\prime \prime}-\left(2 y^{\prime}\right)^2+1=0$
- B$y y^{\prime \prime}+\left(y^{\prime}\right)^2+1=0$
- C$y y^{\prime \prime}-\left(y^{\prime}\right)^2-1=0$
- D$y y^{\prime \prime}+\left(2 y^{\prime}\right)^2+1=0$
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