$\tan ^{-1} x + \tan ^{-1} y = c$ is the general solution of the differential equation:
- A$\frac{dy}{dx} = -\left(\frac{1+y^2}{1+x^2}\right)$
- B$\frac{dy}{dx} = \left(\frac{1+y^2}{1+x^2}\right)$
- C$\frac{dy}{dx} = -\left(\frac{1+x^2}{1+y^2}\right)$
- D$\frac{dy}{dx} = \left(\frac{1+x^2}{1+y^2}\right)$
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