Integral curves

An integral curve is a parametric curve that represents a specific solution to an ordinary differential equation (ODE) or system of equations $(\begin{matrix} \dot{x} (t) \\ \dot{y} (t) \end{matrix}) = F (x, y)$ .

Syntax

integral_curves(List)

integral_curves(List, Identifier)

integral_curves(List, Identifier, Range)

integral_curves(List, Identifier, Range, Identifier, Range)

Description

Given a list with the function $F$ (a two-elements list), returns a sample of solutions of the ODE.

calculus.integral_curves1.plotter0.calc.png

Given a list with the function $F$ (a two-element list) and an identifier: the first variable (the $x$ in the notation used above) returns a sample of solutions of the ODE.

calculus.integral_curves2.plotter0.calc.png

Given a list with the function $F$ (a two-elements list) and an identifier: the first variable (the $x$ in the notation used above) returns a sample of solutions of the ODE in the given range for the variable $x$ .

calculus.integral_curves3.plotter0.calc.png

Given a list with the function $F$ (a two-elements list) and two identifiers: the variables $x$ and $y$ , following the notation above, returns a sample of solutions of the ODE in the given ranges.

calculus.integral_curves4.plotter0.calc.png

Options

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

Option	Description	Format	Default value
number_of_solutions	Number of solutions to be plotted	Natural. `{number_of_solutions = 25}`	10

Integral curves

Syntax

Description

Options

Related functions