$y = \frac{x}{x + 1}$ is a solution of which differential equation?
- A$y^2 \frac{dy}{dx} = x^2$
- B$x^2 \frac{dy}{dx} = y^2$
- C$y \frac{dy}{dx} = x$
- D$x \frac{dy}{dx} = y$
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