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202 Graphs Application
select the down-arrow and select Default.
Field
None - No field is plotted. Available for any number of ODEs,
but required if three or more 1st-order ODEs are active. Graphs
a combination of the solution and/or values of one or more
ODEs (according to user-configured Axes settings).
Slope - Plots a field representing the family of solutions to a
single 1st-order ODE. Exactly one ODE must be active. Sets
Axes to Default(xandy). Sets Horizontal axis to x (the
independent variable). Sets Vertical axis to y (the solution to
the ODE).
Direction - Graphs a field in the phase plane representing the
relationship between a solution and/or values of a system of
two 1st-order ODEs (as specified by the CustomAxes setting).
Exactly two ODEs must be active.
Axes
Default (x and y) - Plots x on the x axis and y (the solutions to
the active differential equations) on the y axis.
Custom - Lets you select the values to be plotted on the x and y
axes respectively. Valid entries include:
• x (the independent variable)
• y1, y2, and any identifiers defined in the ODE editor
• y1’, y2’, and any derivatives defined in the ODE editor
Plot Start
Sets the independent variable value at which the solution plot
starts.
Plot End
Sets the independent variable value at which the solution plot
stops.
Plot Step
Sets the increment of the independent variable at which values
are plotted.
Field
Resolution
Sets the number of columns of field rendering elements (line
segments) used to draw a slope or direction field. You can
change this parameter only if Field = Direction or Slope.
Direction
Field at x=
Sets the independent variable value at which a direction field
is drawn when plotting non-autonomous equations (those that
refer to x). Ignored when plotting autonomous equations. You
can change this parameter only if Field = Direction.