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Loading Student:-VectorCalculus

Define the vector field F

Write the field as a free vector.
Context Panel: Evaluate and Display Inline

Context Panel: Student Vector Calculus≻Conversions≻To Vector Field

Context Panel: Assign to a Name≻F

$⟨x y\,x\/y⟩$ = $\stackrel{\text{to Vector Field}}{\to }$ $\stackrel{\text{assign to a name}}{\to }$$F$$$

Obtain the divergence of F

$\nabla ·\mathbf{F}$ = $y-\frac{x}{y^2}$$$

Alternate access to the divergence

$\mathbf{F}$ = $\stackrel{\text{divergence}}{\to }$$y-\frac{x}{y^2}$$$

Initialize

$$\begin{gathered} \mathrm{with}\left(\mathrm{Student}:-\mathrm{VectorCalculus}\right)\: \\ \mathrm{BasisFormat}\left(\mathrm{false}\right)\: \end{gathered}$$

Define the vector field F

$\mathbf{F}≔\mathrm{VectorField}\left(⟨x y\,x\/y⟩\right)\:$

$\mathrm{Divergence}\left(\mathbf{F}\right)$ = $y-\frac{x}{y^2}$$$