Integral curves

An integral curve is a parametric curve that represents a specific solution to an ordinary differential equation (ODE) or system of equations x˙(t)y˙(t)= 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.calc.png

Given a list with the function FLaTeXF (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.

calculus.integral_curves2.calc.png

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

calculus.integral_curves3.calc.png

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

calculus.integral_curves4.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