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Chapter 10: Differential Equation Graphing
139
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 139 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 139 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 139 of 20
Entering and Solving Differential Equations
In 
Func
 graphing mode, 
x
 is the independent variable and 
y
 is the equation variable. To avoid
conflict between 
Func
 equations and 
DifEq
 equations on the TI
-86, 
t
 is the independent
variable and 
Q'
n
 is the equation variable in 
DifEq
 graphing mode. Therefore, when you enter
an equation in the differential equation editor, you must express it in terms of 
t
 and 
Q'
n
.
For example, to express the first-order differential equation y'=x
2
, you would substitute 
t
2
for x
2
 and 
Q'1
 for y', and then enter 
Q'1=t
2
 in the equation editor.
Graphing in SlpFld Format
�   Display the mode screen and set 
DifEq
graphing mode.
- m # # #
# " " " b
�   Display the format screen and set 
SlpFld
field format.
6 / & #
# # # # b
�   Display the equation editor and store the
differential equation y'=x
2
, substituting 
Q'1
for y' and 
t
 for x. Clear any other
equations.
& & I
�   Display the initial conditions editor and
enter the initial conditions. A small square
indicates that an initial condition is required.
- g 
3
In the example, the default
window variable values are
set initially.