# Equation with cases and numbering and including text

I am trying to create cases in the equation with numbering to individual cases and trying to push the text which is in \mbox{...} to the right. But I wasn't able to succeed. I request your kind help and suggestions on the same. Thank you very much for your help in advance. Kindly the refer the below figure for better understanding visually.

Thanks and Regards, Arjun

$$d_{50} = \begin{cases} \left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r}{r_0^{1/2}} = C\frac{r}{r_0^{1/2}} \mbox{ m=1(Free vortex)}\\ \label{Eq:DpCFreV} \left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r_0^{3/2}}{r} = C\frac{r_0^{3/2}}{r} \mbox{ m=-1(Forced vortex)} \label{Eq:DpCForcV} \end{cases}$$


If I understand correctly what you want, you can do that easily with the cases package, which defines a numcases and a subnumcases environment, depending on the type of numbering you want:

\documentclass{article}
\usepackage{cases}

\begin{document}

\begin{numcases}{ d_{50} =}
\left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r}{r_0^{1/2}} = C\frac{r}{r_0^{1/2}} &\quad $m = 1$ (Free vortex)
\label{Eq:DpCFreV}\\
\left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r_0^{3/2}}{r} = C\frac{r_0^{3/2}}{r} &\quad $m=-1$ (Forced vortex)
\label{Eq:DpCForcV}
\end{numcases}

\begin{subnumcases}{ d_{50} =}
\left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r}{r_0^{1/2}} = C\frac{r}{r_0^{1/2}} &\quad $m = 1$ (Free vortex)
\label{Eq:DpCFreV}\\
\left(\frac{18\eta U_{r0}}{\rho_p U_{\theta0}^2}\right)^{1/2} \frac{r_0^{3/2}}{r} = C\frac{r_0^{3/2}}{r} &\quad $m=-1$ (Forced vortex)
\label{Eq:DpCForcV}
\end{subnumcases}


\end{document}

• Hi Bernard, Thank you very much for the suggestion. I have copied the same code into my editor. But surprisingly d_{50} is missing in the output. Any help here. I am running the code on overleaf. Jun 24 at 13:05
• It is working for numcases. But it is not working for subnumcases(D_50) is not printing in the output. Jun 24 at 13:08
• Hi @Bernard, Is it possible to add more space for text printing in the same line(Extreme right)? Jun 24 at 13:10
• Strande that it doesn't work. Does just the minimalistic code I posted work? I suspect you have a conflicting package, so a minimal code reproducing the problem would be welcome. For the spacing problem, is it from m=1 or from the text between parentheses? Jun 24 at 13:41