The DisplaySolutions command is intended for displaying solutions from the solve command together with the assumptions on any parameters added to the solutions via use of the allsolutions option to solve. Added parameters to solve will have names starting with _NN, _Z, or _B, and have conditions encoded as assumptions. DisplaySolutions displays those parameters as subscripted lowercase variables (named n by default, but another letter will be chosen if n already appears in the solutions). The output is displayed in the form of a piecewise, in two columns: the first column is the solutions, one solution to a row, the second column is the conditions on the parameters, one parameter to a row.

If a second argument is provided, this command will ignore any parameters that occur in that argument.

$\mathrm{SolveTools}:-\mathrm{DisplaySolutions}\left(\mathrm{solve}\left(x^2-x\,\left[x\right]\right)\right)$

$\left\{\begin{array}{cc}x=0& \\ x=1& \end{array}\right.$

$\mathrm{eq1}≔x{\sin \left(x\right)}^2=x$

$\mathrm{eq1}≔x{\sin \left(x\right)}^2=x$

$\mathrm{sol1}≔\mathrm{solve}\left(\mathrm{eq1}\,x\,\mathrm{allsolutions}\right)$

$\mathrm{sol1}≔0,\frac{1}{2}\mathrm{\pi }+2\mathrm{\pi }\mathrm{\_Z1~},-\frac{1}{2}\mathrm{\pi }+2\mathrm{\pi }\mathrm{\_Z2~}$

$\mathrm{SolveTools}:-\mathrm{DisplaySolutions}\left(\left[\mathrm{sol1}\right]\right)$

$\left\{\begin{array}{cc}0& \\ \frac{1}{2}\mathrm{\pi }+2\mathrm{\pi }\mathrm{n\_\_1}& \mathrm{n\_\_1}\in \mathbb{Z}\\ -\frac{1}{2}\mathrm{\pi }+2\mathrm{\pi }\mathrm{n\_\_2}& \mathrm{n\_\_2}\in \mathbb{Z}\end{array}\right.$

$\mathrm{eq2}≔x+\mathrm{sol1}\left[2\right]=\frac{\mathrm{\pi }}{2}$

$\mathrm{eq2}≔x+\frac{1}{2}\mathrm{\pi }+2\mathrm{\pi }\mathrm{\_Z1~}=\frac{\mathrm{\pi }}{2}$

$\mathrm{sol2}≔\mathrm{solve}\left(\mathrm{eq2}\,\left\{x\right\}\right)$

$\mathrm{sol2}≔\left\{x=-2\mathrm{\pi }\mathrm{\_Z1~}\right\}$

$\mathrm{SolveTools}:-\mathrm{DisplaySolutions}\left(\mathrm{sol2}\,\mathrm{eq2}\right)$

$\left\{\begin{array}{cc}x=-2\mathrm{\pi }\mathrm{\_Z1~}& \end{array}\right.$

$\mathrm{sol3}≔\mathrm{solve}\left(\sin \left(n\left[1\right]\right)+\cos \left(n\left[1\right]\right)\,\left[n\left[1\right]\right]\,\mathrm{allsolutions}\right)$

$\mathrm{sol3}≔\left[\left[n_1=-\frac{1}{4}\mathrm{\pi }+\mathrm{\pi }\mathrm{\_Z3~}\right]\right]$

$\mathrm{SolveTools}:-\mathrm{DisplaySolutions}\left(\mathrm{sol3}\right)$

$\left\{\begin{array}{cc}{n}_1=-\frac{1}{4}\mathrm{\pi }+\mathrm{\pi }m& m\in \mathbb{Z}\end{array}\right.$

The SolveTools:-DisplaySolutions command was introduced in Maple 2024.

For more information on Maple 2024 changes, see Updates in Maple 2024.