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136
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 136 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 136 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 136 of 20
The values shown in the picture on page 135 are defaults in 
Radian
 mode. 
x
 and 
y
 settings
correspond to the axes variables (page 137). 
$
 indicates that 
xScl=1
yMin=
L
10
yMax=10
yScl=1
,
and 
difTol=.001
 (in 
RK
 format) or 
EStep=1
 (in 
Euler
 format) are beyond the screen.
tMin=0
Specifies the 
t
 value at which to begin evaluating within a graph screen
tMax=6.28318530718
Specifies the last 
t
 value to evaluate within a graph screen
tStep=.1308969389958
Specifies the increment from one 
t
 value to the next 
t
 value
tPlot=0
Specifies the point at which plotting begins (ignored when 
t
 is an axis)
difTol=.001
 (in 
RK
 format) Specifies tolerance to help select step size for solving; must be 
‚ 1
E
L12
EStep=1
 (in 
Euler
 format) Specifies Euler iterations between 
tStep
 values; must be an integer >0 and 
 25
Setting the Initial Conditions
To display the initial conditions editor, select 
INITC
 from
the 
GRAPH
 menu (6 (). On this editor, you can set
the initial value at 
t=tMin
 for each first-order equation in
the equation editor.
tMin
 is the first 
t
 value to evaluate. 
Q
[
1
 is the initial value of
Q
n
. A small square next to an initial condition variable
indicates that a value is required for a defined differential equation.
You can enter an expression, list, or list name for initial conditions 
tMin
 and 
Q
[
n
. When you
enter a list name, the elements are displayed when you press b, # or $.
♦ 
If 
SlpFld
 or 
DirFld
 format is set, you need not specify initial conditions. The TI
-86
returns the appropriate field with no specific solutions.
♦ 
If 
FldOff
 format is set, you must specify initial conditions.
tMax
 default is 2
p
.
tStep
 default is 
24.
Initial conditions information
is stored to 
GDB
 and 
PIC
variables.