Find the general solution of the differential equation
*** QuickLaTeX cannot compile formula:
\begin{array}{l} \frac{d y}{d x}+\sqrt{\frac{1-y^{2}}{1-x^{2}}}=0

*** Error message:
\begin{array} on input line 8 ended by \end{document}.
leading text: \end{document}
Improper \prevdepth.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing \cr inserted.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
You can't use `\end' in internal vertical mode.
leading text: \end{document}
\begin{array} on input line 8 ended by \end{document}.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Emergency stop.

Find the general solution of the differential equation
*** QuickLaTeX cannot compile formula:
\begin{array}{l} \frac{d y}{d x}+\sqrt{\frac{1-y^{2}}{1-x^{2}}}=0

*** Error message:
\begin{array} on input line 8 ended by \end{document}.
leading text: \end{document}
Improper \prevdepth.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Missing \cr inserted.
leading text: \end{document}
Missing $ inserted.
leading text: \end{document}
You can't use `\end' in internal vertical mode.
leading text: \end{document}
\begin{array} on input line 8 ended by \end{document}.
leading text: \end{document}
Missing } inserted.
leading text: \end{document}
Emergency stop.

    \[\begin{array}{l} \frac{d y}{d x}+\sqrt{\frac{1-y^{2}}{1-x^{2}}}=0 \\ \frac{d y}{d x}=\frac{-\sqrt{1-y^{2}}}{1+x^{2}} \\ \Rightarrow \int \frac{d y}{\sqrt{1-y^{2}}}=\int \frac{-d x}{\sqrt{1-x^{2}}} \\ \sin ^{-1} y=-\sin ^{-1} x+C \\ \therefore \sin ^{-1} x+\sin ^{-1} y=C \end{array}\]