opens a graphical interface for specifying initial conditions and plotting the resulting numerical solution to the first or second order ordinary differential equation eqn for the function x with the independent variable t in the range to .
opens a graphical interface for specifying initial conditions and plotting the resulting numerical solution to the system of two first order ordinary differential equations eqns for the functions x and y.
EquationTrekker[state] reopens a graphical interface with the treks saved in the EquationTrekkerState object state.
If eqn is a single first order ODE, plots of versus t are displayed. If eqn is a single second order ODE, plots of versus are displayed. If eqns consist of a system of two first order ODEs, plots of versus are displayed.
Treks are invoked by right-clicking a coordinate, which generates a trek that starts at the point specified by the mouse cursor.
The initial position of a trek is highlighted in yellow, and by default corresponds to an initial condition specified at t=0. However, only the section of the trek from to is displayed, with the coordinate associated with displayed as a point and the coordinate associated with displayed as an arrowhead.
Changing defaults for newly created treks may be accomplished by typing a value in the text field and clicking the button.
generates a modal dialog, and the kernel is controlled by the graphical interface until the window is closed.
When the window is closed, a list containing an EquationTrekkerState object and a graphic is returned. The EquationTrekkerState object contains all of the information necessary to reopen the window with the treks that were displayed when the window was closed.
A valid setting for TrekParameters is a list of rules of the form , where range consists of a starting value and a range, . The range specification may also consist of a single value v, which is equivalent to .