Integral curves

An integral curve is a parametric curve that represents a specific solution to an ordinary differential equation (ODE) or system of equations open parentheses table row cell x with dot on top left parenthesis t right parenthesis end cell row cell y with dot on top left parenthesis t right parenthesis end cell end table close parentheses equals space F left parenthesis x comma y right parenthesis.

integral_curves(List)

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

integral_curves(List, Identifier)

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.

integral_curves(List, Identifier, Range)

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.

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

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.

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