Laplacian of a Vector Field - Maple Programming Help

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Laplacian of a Vector Field

 Description Calculate the Laplacian of a vector field.

Define the coordinate system.

 > $\mathrm{VectorCalculus}\left[\mathrm{SetCoordinates}\right]\left({\mathrm{cartesian}}\left[{x}{,}{y}{,}{z}\right]\right):$

Define the vector field.

 >
 $\left({x}{}{{y}}^{{2}}\right){\stackrel{{_}}{{e}}}_{{x}}{+}{4}{}\sqrt{{y}}{\stackrel{{_}}{{e}}}_{{y}}{-}{\left({{ⅇ}}^{{z}}\right)}^{{2}}{\stackrel{{_}}{{e}}}_{{z}}$ (1)

Calculate the Laplacian of the vector field.

 > $\mathrm{VectorCalculus}\left[\mathrm{Laplacian}\right]\left(\right)$
 ${2}{}{x}{\stackrel{{_}}{{e}}}_{{x}}{-}\frac{{1}}{{{y}}^{{3}{/}{2}}}{\stackrel{{_}}{{e}}}_{{y}}{-}{4}{}{\left({{ⅇ}}^{{z}}\right)}^{{2}}{\stackrel{{_}}{{e}}}_{{z}}$ (2)
 Commands Used