Setting the axes, Differential equation graphing tips – Texas Instruments TI-86 User Manual

Page 149

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Chapter 10: Differential Equation Graphing

137

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 137 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 137 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 137 of 20

Setting the Axes

To display the axes editor, select

AXES

from the

GRAPH

menu in

DifEq

mode (6 )).

x=

assigns a variable to the x-axis

y=

assigns a variable to the y-axis

dTime=

specifies a point in time (real number)

fldRes=

(resolution) sets number of rows (1 through 25)

At the

x=

and

y=

prompts, you can enter the independent variable

t

, as well as

Q

,

Q'

,

Q

n

, or

Q'

n

, where n is an integer

‚ 1 and  9. If you assign

t

to one axis and

Q

n

or

Q'

n

to the other

axis, only the equation stored to

Q

n

or

Q'

n

is plotted; other differential equations in the

equation editor are not plotted; their selection status is ignored.

dTime

is only valid for

second-order equations with

t

in either equation.

The axes editor and defaults for each field format are shown below. When

SlpFld

field

format is set, the x-axis is always

t

, so the

AXES: SlpFld

editor does not display

x=t

.

When

SlpFld

format is set:

When

DirFld

format is set:

When

FldOff

format is set:

Differential Equation Graphing Tips

Since the TI

-86 plots slope fields and direction fields before it plots equations, you can

press b to pause the graph and view the fields with no solutions plotted.

If you do not specify initial conditions for the equations assigned to the axes, the TI

-86

simply draws the field and stops. This gives you access to both the field format options
and the interactive initial conditions simultaneously.

Axes information is stored to
GDB

and PIC variables.

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