Solve the following differential equation: `(y^2+1)dx-(x^2+1)dy=0`

Explanation

FInd: Find the general solution of this differential equation.

``
\begin{aligned}
&=\left(\mathrm{y}^{2}+1\right) \mathrm{dx}=\left(\mathrm{x}^{2}+1\right) \mathrm{dy} \\
&=\int \frac{\mathrm{dy}}{\mathrm{y}^{2}+1}=\int \frac{\mathrm{dx}}{\mathrm{x}^{2}+1} \\
&=\tan ^{-1} \mathrm{y}=\tan ^{-1} \mathrm{x}+C
\end{aligned}
``
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