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Setting the graph screen window variables – Texas Instruments TI-86 User Manual

Page 147

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Chapter 10: Differential Equation Graphing

135

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 135 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 135 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 135 of 20

In this editor, you can enter and display a system of up to
nine first-order differential equations,

Q'1

through

Q'9

, if

sufficient memory is available. Equations are defined in
terms of the independent variable

t

and

àor

Q'

.

You can refer to another differential equation variable in a

DifEq

equation, as in

Q'2=Q1

. However, you cannot enter a

list in a

DifEq

equation.

When the TI

-86 calculates a differential equation system, it references all equations in the

equation editor, regardless of selection status, starting at

Q'1

. You must define

Q'

n

equation

variables consecutively, starting at

Q'1

. For example, if

Q'1

and

Q'2

are not defined, but you

attempt to solve an equation defined in

Q'3

, the calculator returns an error.

The TI

-86 allows you to analyze each equation independently. For example, you can enter

Q'1=t

and

Q'2=t

2

and analyze each equation independently.

The TI

-86 graphs only those selected equations that are appropriate for the specified axes.

The default graph style is ¼ (thick) in

DifEq

mode.

¾ (shade above), ¿ (shade below), and  (dot) are not available in

DifEq

graphing mode.

Setting the Graph Screen Window Variables

To display the differential equation window editor, select

WIND

from the

GRAPH

menu (6 ').

DifEq

has the

same window variables as

Func

graphing mode, except:

xRes

is not available in

DifEq

mode.

tMin

,

tMax

,

tStep

, and

tPlot

are available in

DifEq

mode.

difTol

(

RK

) and

EStep

(

Euler

) are available in

DifEq

mode.