Find the general solution of the differential equation $\frac{dy}{dx} = \frac{1+y^2}{1+x^2}$.
- A$\tan^{-1} y = \tan^{-1} x + C$
- B$\tan^{-1} y = -\tan^{-1} x + C$
- C$\tan^{-1} x = \tan^{-1} y + C$
- D$\tan y = \tan x + C$
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