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Vector field

Vector fields in the plane can be used to analyze first-degree differential equations: $(\begin{matrix} \dot{x} (t) \\ \dot{y} (t) \end{matrix}) = F (x, y)$

Syntax

vector_field(List)

vector_field(List, Identifier)

Description

Given a list with the function $F$ (a two-elements list), returns a vector field object ready to be plotted.

solve.vector_field1.calc.png

solve.vector_field1.plotter0.calc.png

Given a list with the function $F$ (a two-elements list) and an identifier (the first variable of the system: $x$ following the notation above), returns a vector field object ready to be plotted.

solve.vector_field2.calc.png

solve.vector_field2.plotter0.calc.png

Options

Below is a complete list of options that may be used in the vector_field function.

Option	Description	Format	Default value
vertical_divisions	Number of vertical divisions to be plotted	Natural. `{vertical_divisions=25}`	By default, the best number is selected.
horizontal_divisions	Number of horizontal divisions to be plotted	Natural. `{horizontal_divisions=25}`	By default, the best number is selected.

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