If $x + y = \tan^{-1} y$ and $\frac{d^2 y}{dx^2} = f(y) \frac{dy}{dx}$, then $f(y) = $
$-\frac{2}{y^3}$
$\frac{2}{y^3}$
$\frac{1}{y}$
$-\frac{1}{y}$
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