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                        • Equations, inequations, systems of equations and Ordinary Differential Equations

                        Integral curves

                        Reading time: 1min

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

                        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.

                        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.

                        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.

                        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.

                        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

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