# Integral curves

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

#### 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.

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