# Integral curves

An integral curve is a parametric curve that represents a specific solution to an ordinary differential equation (ODE) or system of equations .

## Syntax

## Description

#### integral_curves(List)

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

#### integral_curves(List, Identifier)

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

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

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

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

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

## 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 |