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200 Chapter 11: Differential Equation Graphing

11DIFFEQ.DOC TI-89/TI-92 Plus: Differential Equation (English) Susan Gullord Revised: 02/23/01 11:04 AM Printed: 02/23/01 2:15 PM Page 200 of 26

Table of Contents

Default Chapter5
- Table of Contents5
- Flash Applications12
- TI-89 / TI-92 Plus Features. Appendix A Provides One Convenient12
- Keystroke Differences14
- What's New16
Chapter 1: Getting Started18
- Getting the TI.89 Ready to Use19
- Getting the TI.92 Plus Ready to Use20
- Setting the Contrast and Selecting a Language21
- Performing Computations25
- Graphing a Function28
Chapter 2: Operating the Calculator30
- Turning the TI.89 / TI.92 Plus on and off31
- Setting the Display Contrast32
- The TI.89 Keyboard33
- The TI.92 Plus Keyboard34
- Modifier Keys35
- Entering Alphabetic Characters38
- Home Screen40
- Entering Numbers42
- Entering Expressions and Instructions43
- Entering an Expression44
- Formats of Displayed Results46
- Editing an Expression in the Entry Line49
- Menus51
- Dialog Boxes52
- Using the Custom Menu54
- Selecting an Application55
- Setting Modes57
- Using the Clean up Menu to Start a New Problem60
- Using the Catalog Dialog Box61
- Storing and Recalling Variable Values64
- Reusing a Previous Entry or the Last Answer66
- Auto-Pasting an Entry or Answer from the History Area69
- Status Line Indicators in the Display70
- Finding the Software Version and ID Number72
Chapter 3: Symbolic Manipulation75
- Preview of Symbolic Manipulation75
- Using Undefined or Defined Variables76
- Using Exact, Approximate, and Auto Modes78
- Automatic Simplification81
- Delayed Simplification for Certain Built-In Functions83
- Substituting Values and Setting Constraints84
- Overview of the Algebra Menu87
- Common Algebraic Operations89
- Overview of the Calc Menu92
- Common Calculus Operations93
- User-Defined Functions and Symbolic Manipulation94
- If You Get an Out-Of-Memory Error96
- Special Constants Used in Symbolic Manipulation97
Chapter 4: Constants and Measurement Units98
- Preview of Constants and Measurement Units99
- Entering Constants or Units100
- Converting from One Unit to Another102
- Setting the Default Units for Displayed Results104
- Creating Your Own User-Defined Units105
- List of Pre-Defined Constants and Units106
Chapter 5: Additional Home Screen Topics110
- Saving the Home Screen Entries as a Text Editor Script111
- Cutting, Copying, and Pasting Information112
- Creating and Evaluating User-Defined Functions114
- Using Folders to Store Independent Sets of Variables117
- If an Entry or Answer Is "Too Big120
Chapter 6: Basic Function Graphing122
- Preview of Basic Function Graphing123
- Overview of Steps in Graphing Functions124
- Setting the Graph Mode125
- Defining Functions for Graphing126
- Selecting Functions to Graph128
- Setting the Display Style for a Function129
- Defining the Viewing Window130
- Changing the Graph Format131
- Graphing the Selected Functions132
- Displaying Coordinates with the Free-Moving Cursor133
- Tracing a Function134
- Using Zooms to Explore a Graph136
- Using Math Tools to Analyze Functions139
Chapter 7: Parametric Graphing144
- Preview of Parametric Graphing145
- Overview of Steps in Graphing Parametric Equations146
- Exploring the Graph146
- Differences in Parametric and Function Graphing147
Chapter 8: Polar Graphing150
- Preview of Polar Graphing151
- Overview of Steps in Graphing Polar Equations152
- Differences in Polar and Function Graphing153
- Preview of Sequence Graphing157
- Overview of Steps in Graphing Sequences158
- Differences in Sequence and Function Graphing159
- Setting Axes for Time, Web, or Custom Plots163
- Using Web Plots164
- Using Custom Plots167
- Using a Sequence to Generate a Table168
Chapter 9 Sequence Graphing170
Chapter 10: 3D Graphing170
- Preview of 3D Graphing171
- Overview of Steps in Graphing 3D Equations173
- Differences in 3D and Function Graphing174
- Moving the Cursor in 3D177
- Rotating And/Or Elevating the Viewing Angle179
- Animating a 3D Graph Interactively181
- Changing the Axes and Style Formats182
- Contour Plots184
- Example: Contours of a Complex Modulus Surface187
- Implicit Plots188
- Example: Implicit Plot of a more Complicated Equation190
Chapter 11: Differential Equation Graphing192
- Preview of Differential Equation Graphing193
- Overview of Steps in Graphing Differential Equations195
- Differences in Diff Equations and Function Graphing196
- Setting the Initial Conditions201
- Defining a System for Higher-Order Equations203
- Example of a 2Nd-Order Equation204
- Example of a 3Rd-Order Equation206
- Setting Axes for Time or Custom Plots207
- Example of Time and Custom Axes208
- Example Comparison of RK and Euler210
- Example of the Desolve( ) Function213
- Troubleshooting with the Fields Graph Format214
Chapter 12: Additional Graphing Topics219
- Preview of Additional Graphing Topics219
- Collecting Data Points from a Graph220
- Graphing a Function Defined on the Home Screen221
- Graphing a Piecewise Defined Function223
- Graphing a Family of Curves225
- Using the Two-Graph Mode226
- Drawing a Function or Inverse on a Graph229
- Drawing a Line, Circle, or Text Label on a Graph230
- Saving and Opening a Picture of a Graph234
- Animating a Series of Graph Pictures236
- Saving and Opening a Graph Database237
- Preview of Tables239
- Overview of Steps in Generating a Table240
- Setting up the Table Parameters241
- Displaying an Automatic Table243
- Building a Manual (Ask) Table246
Chapter 13 Tables248
Chapter 14: Split Screens248
- Preview of Split Screens249
- Setting and Exiting the Split Screen Mode250
- Selecting the Active Application252
- Preview of the Data/Matrix Editor255
Chapter 15256
- Overview of List, Data, and Matrix Variables256
- Data Variable257
- Starting a Data/Matrix Editor Session258
- Entering and Viewing Cell Values260
- Inserting and Deleting a Row, Column, or Cell263
- Defining a Column Header with an Expression265
- Using Shift and Cumsum Functions in a Column Header267
- Sorting Columns268
- Saving a Copy of a List, Data, or Matrix Variable269
Chapter 16: Statistics and Data Plots270
- Preview of Statistics and Data Plots271
- Overview of Steps in Statistical Analysis275
- Performing a Statistical Calculation276
- Statistical Calculation Types278
- Statistical Variables280
- Defining a Statistical Plot281
- Statistical Plot Types283
- Using the Y= Editor with Stat Plots285
- Graphing and Tracing a Defined Stat Plot286
- Using Frequencies and Categories287
- If You Have a CBL 2/CBL or CBR289
Chapter 17: Preview of Programming293
- Preview of Programming293
- Running an Existing Program295
- Starting a Program Editor Session297
- Overview of Entering a Program299
- Overview of Entering a Function302
- Calling One Program from Another304
- Using Variables in a Program305
- Using Local Variables in Functions or Programs307
- String Operations309
- Conditional Tests311
- Using If, Lbl, and Goto to Control Program Flow312
- Using Loops to Repeat a Group of Commands314
- Configuring the TI-89 / TI-92 Plus317
- Getting Input from the User and Displaying Output318
- Creating a Custom Menu320
- Creating a Table or Graph322
- Drawing on the Graph Screen324
- Accessing Another TI-89/TI-92 Plus, a CBL 2/CBL, or a CBR326
- Debugging Programs and Handling Errors327
- Example: Using Alternative Approaches328
- Assembly-Language Programs330
- Preview of Text Operations333
- Starting a Text Editor Session334
- Entering and Editing Text336
- Entering Special Characters341
- Entering and Executing a Command Script345
- Creating a Lab Report347
Chapter 18 Text Editor350
Chapter 19: Numeric Solver350
- Preview of the Numeric Solver351
- Displaying the Solver and Entering an Equation352
- Defining the Known Variables354
- Solving for the Unknown Variable356
- Graphing the Solution357
Chapter 20: Number Bases360
- Preview of Number Bases361
- Entering and Converting Number Bases362
- Performing Math Operations with Hex or bin Numbers363
- Comparing or Manipulating Bits364
Chapter 21: Memory and Variable Management366
- Preview of Memory and Variable Management367
- Checking and Resetting Memory370
- Displaying the VAR-LINK Screen372
- Manipulating Variables and Folders with VAR-LINK374
- Pasting a Variable Name to an Application376
- Archiving and Unarchiving a Variable377
- If a Garbage Collection Message Is Displayed379
- Memory Error When Accessing an Archived Variable381
Chapter 22: Linking and Upgrading383
- Linking Two Units383
- Transmitting Variables, Flash Applications, and Folders384
- Transmitting Variables under Program Control388
- Upgrading Product Software (Base Code)390
- Collecting and Transmitting ID Lists395
- Compatibility between a TI.89, TI.92 Plus, and TI.92397
- Analyzing the Pole-Corner Problem401
Chapter 22: Linking Two Units383
Chapter 23403
- Deriving the Quadratic Formula403
- Exploring a Matrix405
- Exploring Cos(X) = sin(X)406
- Finding Minimum Surface Area of a Parallelepiped407
- Running a Tutorial Script Using the Text Editor409
- Decomposing a Rational Function411
- Studying Statistics: Filtering Data by Categories413
- CBL 2/CBL Program for the TI-89 / TI-92 Plus416
- Studying the Flight of a Hit Baseball417
- Visualizing Complex Zeros of a Cubic Polynomial419
- Solving a Standard Annuity Problem421
- Computing the Time-Value-Of-Money422
- Finding Rational, Real, and Complex Factors423
- Simulation of Sampling Without Replacement424
Appendix A: Functions and Instructions426
- Alphabetical Listing of Operations431
Appendix B580
- Entering Complex Numbers580
- Accuracy Information583
- System Variables and Reserved Names584
- EOS (Equation Operating System) Hierarchy585
- Regression Formulas587
- Contour Levels and Implicit Plot Algorithm589
- Runge-Kutta Method590
- Service and Warranty Information592
- Battery Information593
Appendix C596
- In Case of Difficulty596
- Support and Service Information597
- Warranty Information598
Appendix D608
- Index608

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