Graphing in dirfld format – Texas Instruments TI-86 User Manual

Page 153

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Chapter 10: Differential Equation Graphing

141

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 141 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 141 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 141 of 20

Graphing in DirFld Format

ᕡ Display the mode screen and set

DifEq

graphing mode.

- m # # #
# " " " b

ᕢ Display the format screen and set

DirFld

graphing format.

6 / & #
# # # # " b

ᕣ Display the equation editor and store the

transformed system of differential
equations for y''=

Ly to the equation editor,

substituting

Q1

for y and

Q2

for y'.

& '

2

# a '

1

ᕤ Display the initial conditions editor and enter

the initial conditions if you want a specific
solution. To enter a list of initial conditions,
use

{

and

}

from the

LIST

menu.

- g - ”
&

1

P

2

P

5

'

# & -~ P

4

P

5

`

75

'

ᕥ Display the axes editor and enter the two

equation variables for which you want to
solve. You must omit the prime mark (

'

).

ᕦ Accept or change

fldRes

(resolution).

- h &

1

#

&

2

ᕧ Select

ZSTD

from the

GRAPH

ZOOM

menu

to set the standard window variable values
and display the graph.

ᕨ Clear the

GRAPH

menu from the screen.

. / ( )

:

In DifEq graphing mode, t is
the independent variable and
Q'

n

is the dependent variable,

where

n

1 and



9.

In the example, the default
window variable values are
set initially.

When DirFld field format is
selected, x=Q1, y=Q2,
dTime=0

, and fldRes=15 are

the default axes settings.
Since t is not part of the
equation, dTime is ignored.

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