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Chapter 10: Differential Equation Graphing
10DIFFEQ.DOC   TI-86, Chap 10, US English   Bob Fedorisko   Revised: 02/13/01 2:28 PM   Printed: 02/13/01 3:02 PM   Page 138 of 20
10DIFFEQ.DOC   TI-86, Chap 10, US English   Bob Fedorisko   Revised: 02/13/01 2:28 PM   Printed: 02/13/01 3:02 PM   Page 138 of 20
10DIFFEQ.DOC   TI-86, Chap 10, US English   Bob Fedorisko   Revised: 02/13/01 2:28 PM   Printed: 02/13/01 3:02 PM   Page 138 of 20
The Built-In Variable fldPic
As the TI
-86 plots a field, it stores the field and any displayed label, axes, or cursor
coordinate information to the built-in variable 
fldPic
.
These actions do not update 
fldPic
.
♦ 
Switching the solving method format from 
RK
 to 
Euler
 or from 
Euler
 to 
RK
♦ 
Entering or editing any initial condition variable value (
Q
[
1
 through 
Q
[
9
)
♦ 
Editing a value for 
difTol
EStep
tMin
tMax
tStep
, or 
tPlot
♦ 
Changing a graph style
These actions update 
fldPic
.
♦ 
Editing an equation in the equation editor
♦ 
Re-assigning an axis, editing a 
dTime
 value, or editing a 
fldRes
 value
♦ 
Using a 
GRAPH
 
ZOOM
 menu item
♦ 
Changing a format setting other than solving method format
♦ 
Editing a value for 
xMin
xMax
xScl
yMin
yMax
, or 
yScl
Displaying the Graph
To plot the differential equations, you can select 
GRAPH
TRACE
EVAL
, or 
STGDB
, or a
DRAW
ZOOM
, or 
STPIC
 operation, from the 
GRAPH
 menu. The TI
-86 solves each equation
from 
tMin
 to 
tMax
. If 
t
 is not an axis, it plots each point beginning at 
tPlot
; otherwise, it
begins at 
tMin
. As a graph is plotted, the variables 
x
y
t
, and 
Q
n
 are updated.
tStep
 affects trace resolution and graph appearance, but not the accuracy of the trace
values. 
tStep
 does not determine the step size for solving; using the 
RK
 algorithm (Runge-
Kutta 2-3) determines the step size. If the x-axis is 
t
, setting 
tStep
<(
tMax
 
N
 
tMin
)
à126
increases plotting time without increasing accuracy.
Stat plot and screen drawings
are not stored to 
fldPic
.