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Displaying the differential equation editor – Texas Instruments TI-86 User Manual

Page 146

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134

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 134 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 134 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 134 of 20

Field Format

SlpFld

(slope field) Adds the slope field to the graph of only one first-order equation with

t

on

the x-axis and a specified

Q

n

equation on the y-axis

DirFld

(direction field) Adds the direction field to the graph of only one second-order equation
with

Q

x#

on the x-axis and

Q

y#

on the y-axis

FldOff

(field off) Graphs all selected differential equations with

t

or

Q1

on the x-axis,

Q1

or

Q2

on the y-axis, and no field; initial conditions must be defined for all equations
(page 136)

The examples below show the basic slope and direction fields; all unspecified settings and
values are defaults. To replicate these examples, reset defaults, enter the specified
information in

DifEq

graphing mode, and then press 6 *.

SlpFld

field format

DirFld

field format

Q'1=t

(y'=x)

Q'1=Q2

and Q'2=

L

Q1

(y"=

L

y)

Displaying the Differential Equation Editor

To display the differential equation editor, select

Q'(t)=

from the

GRAPH

menu in

DifEq

graphing mode (6 &). The

DifEq

equation editor menu on the bottom line is the same

as the

Func

mode equation editor menu, except that

t

and

Q

replace

x

and

y

.

Axes information is stored to
GDB

and PIC variables.

To remove menus from a
graph, as shown in the
examples, press

:

.